







The length of a line at 45 degrees 
20220409 

Aiden pose la question : Let's say one line is diagonal and one line is vertical.
If they eventually meet at a 45 Degree angle,
How long will the diagonal line be compared to the vertical line?
(For Example: If The Vertical Line is Exactly 1 Inch. penny Nom lui répond. 





The sides of a 5pointed star inscribed in a circle 
20210918 

Scott pose la question : Is there a calculation for the length of each side of a fivepointed star?
I am not worried about area but if I have a circle with a 7.5 foot radius and
place a star inside it, how can I measure the lines creating the star? Harley Weston lui répond. 





The dimensions of a rectangle 
20210909 

Ash pose la question : I need to know how to figure out the dimensions of a rectangle. I know that the
area is 30ft and the perimeter is 26ft. I'm 15 and I have no idea what I'm
supposed to do. Harley Weston lui répond. 





The side length of a hexagon 
20200205 

Rob pose la question : I have a hexagon that is 8 feet wide how long would the sides be? Penny Nom lui répond. 





The length and width of 1 1/3 acres 
20191122 

Ben pose la question : I’m trading to figure out what the length and width of 1 1/3 of an acre
would be in a rectangle or in a perfect square Penny Nom lui répond. 





How do you find the length and the width if all you had was area? 
20191016 

Ali pose la question : So, How do you find the length and the width if all you had was area? Penny Nom lui répond. 





The length of half an acre 
20190823 

Angeles pose la question : How many Feet Long In Half An Acre (Rectangle) Penny Nom lui répond. 





The length of an arc 
20190428 

Patrick pose la question : If an arch is 48 inches wide at the base and 30 inches tall at its apex, what is the length of the arch? Penny Nom lui répond. 





7 spheres on a hexagonal tray 
20190114 

herm pose la question : what is the length of each side of a hexagonal tray, with the height of each side 0.75 inch, to hold seven spheres, each with a diameter of 3.00 inches? The spheres are placed such that each side of the hexagon is touched by one sphere at its midpoint (and the seventh sphere is place in the center of the "ring" of the other six spheres. Harley Weston lui répond. 





Rods,poles and perches 
20180513 

roy pose la question : i have some land and its measured in rods poles and perches
how cann i convert to understand it more Penny Nom lui répond. 





A cone formed from a circular sector 
20180418 

Jessica pose la question : A circle has a radius of 7.5cm. A sector with an angle of 240 degrees is cut out from the sector. If the sector is folded to form a cone. Find the length of the cone. Penny Nom lui répond. 





A side of a square 
20180406 

Angie pose la question : I am dyslexic and have problems with spelling and math I'm trying to figure 4.610 Acres Square trying to figure out how many feet or yards of one side if that makes sense to you thank you I'd really appreciate the help Penny Nom lui répond. 





A rope fom a dock to a boat 
20180314 

Tracey pose la question : A boat is tied with a rope to a dock that is 16 feet tall. Along, the water, the water the boat is 17 feet from the dock. How long is the rope connecting the boat to the dock? Let c represent the length of the rope.? Penny Nom lui répond. 





The length of a train 
20170424 

Stefano pose la question : If a freight train is coming towards you and you were traveling at 85 miles an hour and it takes 35 seconds for the train to pass you how long is the train
Figure 50mph for train Penny Nom lui répond. 





Radius angle and arc length 
20161124 

pavidthra pose la question : Length or arc 11 and angle of subtended 45.need to find a radius Penny Nom lui répond. 





The lateral side length of a cone 
20160605 

Diane pose la question : Question is find the lateral side length of a right cone with area of 372 sq. cm and base circle radius of 9 cm. Penny Nom lui répond. 





A sector of a circle 
20160421 

mustafa pose la question : In a sector of a circle, the arc length is equal to half the perimeter of a sector.find the area of a sector in terms of r Penny Nom lui répond. 





A chord of a circle, the central angle and the radius 
20160126 

Nishan pose la question : If chord length is given along with angle then how to calculate the radius. Penny Nom lui répond. 





The length of an 80 acre piece of land 
20160121 

Eugene pose la question : Have to clear a piece of land 80 acres by 500 feet wide. What is the length of the property? Thanks Gene Penny Nom lui répond. 





The perimeter of a one quarter acre square 
20160115 

Kerry pose la question : If you have a perfect square that is one quarter of an acre what are the length of the sides and how do you arrive at the solution? thank you, Kerry. Penny Nom lui répond. 





The length of a rectangle 
20150926 

Tris pose la question : Hi,
I'm trying to figure out the length of a rectangle but i forgot how. So, the width is
5cm and the perimeter is 34cm. Penny Nom lui répond. 





The distance over a Quonset 
20150820 

jane pose la question : total base of hemisphere is 30 ft
apex height is 20 feet
what is total length over dome Penny Nom lui répond. 





An octagonal frame around a pool 
20150517 

James pose la question : I have a 20' pool and need to put a frame around it using 2by 4 what r the lengths and angle cuts Penny Nom lui répond. 





The side length of a gazebo 
20150314 

Dennie pose la question : From middle of side to middle of opposite is 14'6". What is the length of the side? Penny Nom lui répond. 





6 bolt holes around a circle 
20141026 

Bobby pose la question : What Is The Cord Dimension For 6 Holes On A 24" Bolt Circule Penny Nom lui répond. 





A chord and an arc of a circle 
20140806 

Luis pose la question : Hello I am trying to figure out how to get chord lengths of quarter points for a circle. I work with large diameter circles and I need to be able to find chord length from 0 degrees to 90 degrees, 0 degrees to 270 degrees, 270 degrees to 180 degrees and 90 degrees to 180 degrees. Can you please use 100ft. diameter as example and work out the problem. I'm sorry if I use wrong terminology, I'm really bad at math . Thank you in advance for your time and help I really appreciate it. Harley Weston lui répond. 





An octagon around a tree 
20140716 

floyd pose la question : I want to build an octagon 4 feet from base of tree from 4x4's. What length do I cut my pieces Penny Nom lui répond. 





A reversed curved on a railroad track 
20140619 

cherrielyn pose la question : Assuming that earth is a sphere of radius 6380 km,
what is the difference in the latitudes of two cities 270 miles apart
positioned on the same meridian?
Thank you in advanced po! :) Penny Nom lui répond. 





The length of a shadow 
20140509 

vijay pose la question : A girl of height 80 cm is running away from the base of a lamppost at a speed of 2 m/s. If the lamp is 4 m above the ground, find the length of her shadow after 5 seconds. Penny Nom lui répond. 





A chord length of 2 cm 
20140313 

prema pose la question : I am having only chord length as 2cm. how to find arc length and degree Penny Nom lui répond. 





A circle, a chord and an arc 
20130416 

Tim pose la question : Morning,
I was told the chord is 3000mm and the depth of chord is 300mm, I can
find the radius,(1500 squared + 300 Squared) Divided by (300 + 300)
but don't know how to calculate the length of the circle defined by the chord.
Regards
Tim
Penny Nom lui répond. 





The side lengths of a triangle 
20130107 

Katie pose la question : How do I find the side lengths of a triangle knowing the base and its height?
Thank you, Penny Nom lui répond. 





The length and depth of a chord 
20120816 

Tim pose la question : Can I find the radius of a circle, if I have a chord of 2400mm, and a depth
between the center of the chord and the perimeter of the circle of 150mm ?
Thanks
Tim Penny Nom lui répond. 





Two altitudes of a scalene triangle 
20120813 

grace pose la question : Two of the altitudes of a scalene triangle ABC have length 4 and 12. If the length of the third altitude is also an integer, what is the biggest that it can be? Justify all of your conclusions. Chris Fisher lui répond. 





An octagonal sandbox around a pool 
20120612 

Linda pose la question : My pool is 15 feet across and it is round.
How do I measure to cut wood to build a sandbox around it? was thinking it will look like an octagon.
Thanks Harley Weston lui répond. 





How to find the base length of a isosceles triangle if only the sides are given? 
20120425 

aqilah pose la question : how to find the base length of a isosceles triangle if only the sides are given? Chris Fisher lui répond. 





A rectangular prism 
20120405 

Tori pose la question : How do you find the base height if the base width is 10ft. The height is 7ft. And the volume is105ft. Penny Nom lui répond. 





Forming a triangle from 3 line segments 
20120315 

rustom pose la question : A point X is selected at random from a line segment AB with midpoint 0. Find the probability that the line segments AX, XB, and A0 can form a triangle. Penny Nom lui répond. 





A 23 acre airport runway 
20120221 

Ron pose la question : I have a 23 acre plot. If it were in a straight line, would it be enough distance for a plane to take off and land if the plane needed 1 mile? Robert Dawson and Penny Nom lui répond. 





The dimensions of a rectangle 
20120106 

joseph pose la question : The perimeter of a rectangle is 72 inches. The length of the rectangle
is three more than 2 times the width of the rectangle. What is the
length of the rectangle? Write and solve an equation to determine the
dimension of the rectangle. Penny Nom lui répond. 





Three sides of a triangle 
20111224 

saba pose la question : the three sides of a triangular lot have lengths 10,11and 13cm,respectively.
find the measure of its largest angle and the area of the lot? Penny Nom lui répond. 





The sides of a regular octagon of area 800 sq. ft. 
20110921 

Susan pose la question : Help please. I am building an octagon tree house to live in. I would
like the total square footage to equal 800 to 1,000 sq ft. How long
should each side of the octagon be.
tx, susan Penny Nom lui répond. 





The length of an arc 
20110824 

nuel pose la question : Is there any formula to calculate the arc length from only the chord length and angle between the chord and tangent of the arc at its endpoint ? Penny Nom lui répond. 





The length of a belt around three pulleys 
20110518 

Grant pose la question : I need to calculate the belt length around these pulleys, please can you
help or refer me?
Known variables
D  Large Pulley Diameter
d  Small Pulley Diameter
c  Center Distance between D and d
T  Tension Pulley Diameter
x  Horizontal Distance between T and d' Centers
y  Vertical Distance between T and d's Centers
I need to calculate the belt length around these pulleys.
Kind Regards,
Grant Harley Weston lui répond. 





The length of a chord 
20110425 

G pose la question : A 120 degree central angle intercepts a circle at the points A and B. The radius of the circle is 10 cm. Find the length of chord AB. Penny Nom lui répond. 





Triangles with perimeter 16 cm 
20110222 

Chong pose la question : How many triangles (up yo congruence) with perimeter 16 cm and whose lengths of its side are integers? Chris Fisher lui répond. 





The sides of an equilateral triangle 
20110127 

Cristal pose la question : Hello :) How can i find the sides of an equilateral triangle when only given the height 10m? Penny Nom lui répond. 





A sector of a circle 
20110107 

Alice pose la question : the radius of a circle is 7cm the angle of the sector is 68 how do you find the Penny Nom lui répond. 





A 20" octagon 
20101119 

CHARLES pose la question : I have a 20" octagon and it has 8 parts. In inches how big is each
part. I was told each part was 5.86".The top of the octagon breaks
into 3 equal parts don't equal 20".When i did my math i thought it should be 6 5/8" which is closer
to 20"
I am trying to cut a octagon out of a 20"circle Stephen La Rocque lui répond. 





The sides of a trapezoid 
20101103 

Bobbi pose la question : Isosceles Trapezoid base=60”; two 45⁰angles at base, two 135⁰ angles at the top, vertical distance between base & top=16”. What is the length of the top line and the two equal side lines? Penny Nom lui répond. 





The length of a vector 
20100912 

kyrie pose la question : Find the possible values of the constant a such that
 ai + 4aj + 4k  = 13
I know the answer is 3 but not sure how to get to it Penny Nom lui répond. 





The low leg height of a shutter 
20100520 

brian pose la question : I work for a shutter company and am in need of a formula to figure
out what the low leg height would be if given the width of shutter,
the high point of arch top and the radius. example would be a 18" wide
shutter with a 80" high leg on the right side and a 30" radius. I would
need a way to figure what the low leg height (left side of shutter)
would be. Or if given width, low leg height and radius what the high
side would be? If any of this can be given in laymen's terms it would be
much appreciated.
Thanks,
Brian Harley Weston lui répond. 





A roll of paper 
20100325 

keith pose la question : how many yds of paper for a roll with a width of 6.875 and a core of 3 in and a diameter of 40in? Robert Dawson lui répond. 





Arc length and Chord length 
20100313 

Darryl pose la question : Is there a formula to determine the chord length of an arc knowing only the arc length and the arc depth (sagitta)? I know you can't find the radius with only these two inputs, but can you find the chord length? Harley Weston lui répond. 





The side length of a square 
20100308 

tara pose la question : am trying to help my brother's daughter in maths, tomorrow she has maths exam
1. Area of sq. picture is 441 sq.cm what is the length of its side. Penny Nom lui répond. 





What is the length of my sidewalk? 
20100127 

Les pose la question : Name: Les
Who are you: Student
I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk? Penny Nom lui répond. 





The length of a sidewalk 
20100119 

Les pose la question : I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk? Penny Nom lui répond. 





Chord length given the length & radius of an arc 
20091231 

Wayne pose la question : Given the length & radius of an arc, is there a formula that will accurately calculate the chord length?
I'm an architectural designer, and would need it explained in layman's terms. Thank you.
Wayne Penny Nom lui répond. 





Sagitta 
20090910 

Robert pose la question : Can you please tell me if there is a formula to figure out the Sagitta of an
arc when you know the radius, chord length, and arc length? Chris Fisher and Harley Weston lui répond. 





The length of tape on a reel 
20090806 

Philiip pose la question : What diameter reel would be required to roll up 1000 meters of tape that is 0.01 mm thick such that the final role left 10 mm empty space between the top of the roll and the outside of the reel, the hup that the tape was wound on was 2 cm? Stephen La Rocque lui répond. 





Arc length 
20090710 

farhad pose la question : hi
i need to measure length of arc by having only two measurements, first the length of the chord and
the height of the curve.
if i have a simple calculator that haven't sin cos tang (i want to calculate it in my mind) Stephen La Rocque lui répond. 





Height of a Flag Pole 
20090626 

Jake pose la question : Can anyone answer this I am very stumped.
The flagpole on the roof of a Chocolate Factory is 13 cm in diameter and
a perfect cylinder. If one end of a 2300cmlong string is attached to the top
of the flagpole, and wraps around the flagpole exactly 16 times before ending
at the bottom of the flagpole, how tall is the flagpole? Need answer by Wednesday Penny Nom lui répond. 





Thermal Expansion of Steel 
20090617 

Ken pose la question : Hi there, We are rollforming steel roofsheeting in 65M lengths and the =
question of linear expansion has cropped up.I would like to know what =
the expansion rate of this sheet would be over a temperature rise of say =
40degree F.in mm per Meter or whatever the norm is. The sheet is 0.53mm =
thick and is 700mm in width,I hope this is sufficient info to enable you =
to do your calculation.Many thanks, in anticipation.
Ken Janice Cotcher lui répond. 





Linear feet into Square feet 
20090604 

Vickie pose la question : Hoe do I change 10 linear feet into square feet? Janice Cotcher lui répond. 





An arched or round top window 
20090407 

Dale pose la question : I need a formula to figure the lineal footage of trim require to trim an arched or round top window. The variables that I have consist of the width of the window the height of the arc and the radius. Harley Weston lui répond. 





The length of an arc 
20090404 

Dale pose la question : If I have the length of the chord and the height of the arc can I find the arc length with these dimensions? Harley Weston lui répond. 





The length of a ladder 
20090330 

Susan pose la question : The foot of an extension ladder is 7 ft. from a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder? Penny Nom lui répond. 





A cord length and angle measurement 
20090326 

larry pose la question : i have a radius of 185". and an arc length of 186.5". how do i find the arc degrees
or cord length? Harley Weston lui répond. 





The length of a chord 
20090320 

shirley pose la question : show that the chord is equal to two times the radius time the sin of theta/2.
The chord is connected to the two radii and theta is a central angle between the two radii Penny Nom lui répond. 





Related rates 
20090314 

Jeevitha pose la question : The side of an equilateral triangle decreases at the rate of 2 cm/s.
At what rate is the area decreasing when the area is 100cm^2? Stephen La Rocque lui répond. 





The sides of a triangle 
20090307 

felicia pose la question : ona map, tannersville, chadwick, and barkersvile for a triangle. Chadwick is
70 miles from Tannersville and Barkersville is 90 miles from Tannersville. Which is a
possible distance between Chadwick and Barkersville?
a. 5miles
b. 10 miles
c. 150miles
d. 200 miles Harley Weston lui répond. 





The sides of a polygonal building 
20090213 

mark pose la question : length of sides of an 18 ft.diameter bldg
i need to find out if i should build an octagon or decagon to keep the
sides of the bldg at 8ft or less. how do i figure the length of the sides
of each? Penny Nom lui répond. 





Forming an arc with 2 inch steel 
20090211 

Craige pose la question : I need to calculate the bending radius of 2" wide steel to achieve given inside and outside arc lengths Harley Weston lui répond. 





One acre of land 
20090131 

michelle pose la question : Can you tell me how many feet in length would it be for a acre if the land is 155 feet wide.
Thank You! michelle Penny Nom lui répond. 





A standard bill on a highway 
20081219 

Stephanie pose la question : A standard bill on a highway has a perimeter of 14 feet. the length of the bill board is 6 feet greater than triple the width.
What is the length?
what is the width? Robert Dawson and Penny Nom lui répond. 





The sides of an octagon 
20081012 

side lengthsGarry pose la question : I need the length of the sides and the degrees of the angles for a 30 inch diameter
octagon Janice Cotcher lui répond. 





Finding the Distance Between Two Latitudes 
20081002 

Samua pose la question : Assuming that the Earth is a sphere of radius 4000 miles and that the cities
are on the same longitude (one city is due north to the other). Find the distance between
the cities with the latitudes of 37 degrees 47'36'' and another city with 47 degrees 37'18''. Heeeeeeeeeeelp! Janice Cotcher lui répond. 





The sides of an octagon 
20080921 

mark pose la question : I need to know the measurements of an octagon with a inside diameter of 34.5 inches from side to side Penny Nom lui répond. 





The length of a pipe 
20080825 

John pose la question : How many feet of one inch pipe would it take to hold 30 and 40 gallons of water?
Imperial gallons please. Penny Nom lui répond. 





Arclength and sectorangle 
20080806 

Benson pose la question : If chord length, radius are given, How to find the sector angle and arclength Janice Cotcher lui répond. 





Chords and arcs 
20080711 

Ronnie pose la question : We are trying to build a semi life size ark decoration , and we are trying to cut the sides out . The curved sides and we can't figure our radius , all we know is that our chord length is 24ft. any suggestions on how to find the radius or maybe even the arc length or circumference or diameter? Harley Weston lui répond. 





A space camera circles the Earth 
20080616 

Rita pose la question : A space camera circles the Earth at a height of h miles above the surface. Suppose that d distance, IN MILES, on the surface of the Earth can be seen from the camera.
(a) Find an equation that relates the central angle theta to the height h.
(b) Find an equation that relates the observable distance d and theta.
(c) Find an equation that relates d and h.
(d) If d is to be 3500 miles, how high must the camera orbit above Earth?
(e) If the camera orbits at a height of 400 miles, what distance d on the surface can be seen? Penny Nom lui répond. 





The length and width of a rectangle 
20080611 

gregg pose la question : the perimeter of a rectangle is 70 feet. the ratio of length to width is 4:3. how would i calculate the length of the height and width? Penny Nom lui répond. 





Arclength 
20080607 

prem pose la question : i am engineer, i need the formula for calculate the arclength by using only chord length and radius only Penny Nom lui répond. 





The area of a regular pentagon 
20080602 

Jenna pose la question : I would like to know if there is a formula to find the area of a regular Pentagon that is not inscribed in a circle only apothem and side length are given. Penny Nom lui répond. 





One chord is twice as long as another 
20080530 

Stacey pose la question : In a circle, If one chord is twice as long as another, is the longer chord's arc also twice the size of the smaller chord? True or False Chris Fisher lui répond. 





Find a way to represent the length and width of the box. 
20080525 

Angela pose la question : The volume of a box that is two inches high can be represented by V=2X^220x+32. Find a way to represent the length and width of the box. (Hint: you will need to use factoring). Stephen La Rocque lui répond. 





The length of an arc 
20080516 

Don pose la question : I am trying to determine the length of an arch with a two foot backset from 32 foot frontage. Harley Weston lui répond. 





The fourth side of a property 
20080514 

Penny pose la question : Property has 3 measurements and 2 angles and I want the altitude at a particular point. Corners are sw, nw, ne and se. 1 want the 4th saide measurement confirmed (we think 146.07') and the altitude measurement at 25' from sw (on the swse side)
The angles provided are interior at nw 67.38 degrees and the opposing corner se interior appears to be 68.58 degrees. the 3 sides with measurements are: sw to nw=54.07'. sw to se 146.07' and se to ne 53.57'. If you would help, we would really appreciate it. Thanks! Penny Harley Weston lui répond. 





The length of an arc 
20080512 

patricia pose la question : Find the length of the arc on a circle of radius r = 16 inches intercepted by a central angle [theta] = 60 degrees Penny Nom lui répond. 





The sides of an octagon 
20080507 

Frank pose la question : Question from Frank, a parent:
Hi,
Need to lay out a 10 ft. diameter octagon on the ground. What is the
length of the
sides ? And the angles ? Harley Weston lui répond. 





Chord, radius, arc length and central angle 
20080415 

Cindy pose la question : There is a railroad curve with a chord length of 2000 ft. and a central angle of 35 degrees. What is the radius and arc length of the circular arc? Stephen La Rocque lui répond. 





Side lengths and angles in a regular octagon 
20080409 

Lori pose la question : I am a builder and need to find the length of the sides of an octagon. I know the length between
the parallel sides (26 feet). What is the length of each side? What is the angle measurement? Harley Weston lui répond. 





The length of a side of a square 
20080312 

laura pose la question : if i had a square of 2.3 square meters what would its radius be?(in centimeters please) Penny Nom lui répond. 





A widthtolength ratio of 2 : 3 
20080311 

Stephanie pose la question : The national flag of France has a widthtolength ratio of 2 : 3. What is the width of an 18inch long French flag? Penny Nom lui répond. 





Side lengths and area of a triangle 
20080308 

angela pose la question : In the diagram of ABC the angle A is 65 the angle B is 70 and the side opposite vertex B is 7. Find the length of the side opposite vertex A and find the area of ABC Penny Nom lui répond. 





A roll of paper 
20080305 

Sheik pose la question : How I Convert My Roll Weight Into Meters?
Roll Width : 241mm
Thickness : 56gsm
Weight :81 Kg Harley Weston lui répond. 





The dimensions of a rectangle 
20071212 

tara pose la question : The length if a rectangle is 5 feet less than twice its width. The perimeter of the rectangle is 38 feet. let w represent the width. write an equation for the perimeter of the rectangle in terms of w. Then solve the equation to find the length and width o the rectangle. Penny Nom lui répond. 





parabolic arch 
20071024 

ABHILASH pose la question : How find parabolic arch perimeter. Harley Weston lui répond. 





Arc length and height in a circle 
20071023 

Bruce pose la question : I have been trying to find a formula that relates height of a segment
from the bottommost point of a circle toward the center of the circle to
the corresponding distance along the circumference of the circle
(i.e. at the point on the circumference intersected by a line perpendicular
to that segment). The unknown variable is the height of the segment;
the known variables are the radius of the circle and the distance
along the circumference. Stephen La Rocque lui répond. 





Given the arc length and chord length, what is the radius? 
20071010 

Wayne pose la question : I have the actual length of an arc plus the length of the cord. How do I determine the radius of the arc. Harley Weston lui répond. 





Area and side length of a hexagonal tent 
20071009 

Mark pose la question : Trying to buy a tent with 6 sides, in the catalog they give me sq. ft., what is the distance from side to side of a hexagonal tent with an area of 90 sq. ft. Stephen La Rocque lui répond. 





Arc lengths, central angles and radii 
20071004 

Ashutosh pose la question : Jose can remember that the length of an arc is 440cm, but he cannot remember the radius of the arc or the angle at the center. He does know that the angle was a whole number of degrees and the radius was less than 100cm. Find three possible angles and write down the size of each of the possible radii. Stephen La Rocque lui répond. 





The length of an arc 
20070926 

swarna pose la question : a wire of length 32 cm is bend to form a sector of circle of radius of 6 cm find the length of the arc of the sector Penny Nom lui répond. 





Proof that any side of a triangle is less than half the perimeter. 
20070707 

Omkar pose la question : Any side of a triangle is smaller than half of its perimeter, prove this in short ? Stephen La Rocque lui répond. 





The length of an arc 
20070618 

Lenny pose la question : How do you find out the arc length of a sector 50 degrees wide?? Stephen La Rocque and Penny Nom lui répond. 





Area of a hexagon (three ways to find it) 
20070524 

Josh pose la question : I have to work out the area of a hexagon when I know that the perimeter
of it is 1000m. I have tried many different ways but I get different
answers. Stephen La Rocque lui répond. 





Chords and arc lengths 
20070308 

Angela pose la question : my dad, who is a welder, asked me a question pertaining to chords and points on an arc to which I cannot for the life of me find an answer or an equation. if you could help, it would be much appreciated. I am sending an attachment of the problem. Stephen La Rocque lui répond. 





The length of the side of a hexagon 
20070219 

Nick pose la question : if the area of a regular hexagon is 259.807 how do i find the length of each side, and the apothem? thanks if you can help Penny Nom lui répond. 





Chord length 
20061101 

Tony pose la question : how do i find a chord length when all i have is arc length (13.633m) and the radius (89.500m) Stephen La Rocque lui répond. 





Determine the width and height 
20061012 

Roshawn pose la question : If I am given the length of 73" and the girth of 11" and am trying to determine the width and height. How would I do this? Stephen La Rocque lui répond. 





Two word problems 
20061002 

Eve pose la question :
1. A surveyor's map shows a plan for the rectangular rose garden whose area is
a^{2}+25ab350b^{2}. Find an algebraic expression for the length and width. If a=20 ft and b=10 feet, find the actual dimensions of the garden.
2.A square is enclosed in a circle. The area of the square is (4r^{2}32r+64)sq cm and the area of the circle is 484r^{2} sq cm. Write a polynomial in factored form to represent the difference of the two areas.
Stephen La Rocque lui répond. 





The length of 2 sides of a triangle 
20060915 

Lonnie pose la question : I need to know how to figure the length of 2 sides of a triangle, as the following example:
The length of the bottom is 12' and the angles are 45, 45 I need to know how long the other 2 sides must be to get an angle of 90 at the top. Stephen La Rocque lui répond. 





Calculating the belt length of a three pulley system 
20060716 

Mark pose la question : I have a 3 pulley system with sides abc and pulleys ABC. Pulley A has radius of 10cm, pulley B has radius of 20cm, and pulley C has radius of 3cm. The side lengths are: (center to center of pulleys) between pulleys AB = 75cm, between pulleys BC = 100cm, and between pulleys AC = 50cm. I set these side lengths up as (according to law of sines and cosines) a = 100cm, b = 50cm, and c = 75cm. What is the length of the belt required for this system? I need to know how I would set this problem up and solve. Stephen La Rocque lui répond. 





Finding square footage from lengths in inches 
20060714 

Ann pose la question : How do I find out the square footage of a window 45" by 22" and 43" by 35.5"? Stephen La Rocque lui répond. 





An octagon shape flower bed 
20060624 

Brandy pose la question : hello my name is brandy my husband and I would like to build an octagon shape flower bed to put around the tree in the front yard
we would hope to have the whole shape about 4 ft5 ft around the tree. what would be the way to find out how to cut each side to that they fit together equally Penny Nom lui répond. 





A side segment of an octagon 
20060624 

Ed pose la question : I would like to know how to find a side segment of an octagon when I know that my octagon is 9 feet from side to side and top to bottom? Stephen La Rocque lui répond. 





The chord length of a polygon 
20060614 

Krishna pose la question : I have to find out the chord length of a polygon  Tetradecagon ! The Radius of the Circle is 11.5 Cms. The Circle is intersepted by 14 arcs. Then how to find out the chord length? Stephen La Rocque lui répond. 





How long and how wide is the table? 
20060202 

A student pose la question : the perimeter of a table is 24 feet. the table is twice as long as it is wide. how long and how wide is the table? Penny Nom lui répond. 





Sectors and arcs 
20060125 

Wael pose la question : How is the area of an arc (alpha*pi*r squared/360) derived?
How is the length of an arc (alpha*pi*r/180) derived? Penny Nom lui répond. 





The length of a chord 
20051103 

Sue pose la question : How do you determine the length of a chord when given the diameter of the circle (1.6m) and that the angle = 7π/8 Penny Nom lui répond. 





The sides of an octagon 
20051102 

Royce pose la question : I understand there is a simple calculation to determine the sides of an octagon when you know the distance across the parallel flats. something like .447 . can you help? Penny Nom lui répond. 





The length of a circle's chord 
20050928 

A homebuilder pose la question : find the length of a circle's chord with a known arc length and radius/diameter lengths. Penny Nom lui répond. 





The length of the side of an octagon 
20050922 

Billy pose la question : How can you find the length of the side of an octagon when all that you know are the long sides of one of the eight perfect isc. triangles inside the octagon that share the same center point? Penny Nom lui répond. 





The length of a chord 
20050908 

A student pose la question : how do you find the length of a chord given the angle and radius of the circle Penny Nom lui répond. 





Given only the length of an arc & the length of its chord find the radius? 
20050907 

Robert pose la question : Given only the length of an arc (72) & the length of its cord (71), how to find the radius? Penny Nom lui répond. 





The length of a whale 
20050604 

Judy pose la question : A whale's head is 72 inches long... its tail is as long as its head plus half the length of its body, and its body is half the entire length. Who long is the whale? Penny Nom lui répond. 





Th dimensions of a garden 
20050209 

Rebecca pose la question : Nate's garden has a perimeter of 34 meters and an area of 72 square meters. What are the dimensions of the garden? Penny Nom lui répond. 





The length of an arc 
20041121 

Daryl pose la question : I am tying to find the arc length of a line 6' and the vertex of the arc 1' off of the line. that is all that is known Penny Nom lui répond. 





The length of a rectangle 
20040926 

Rebecca pose la question : My question is each side of a square S is 18 inches long and the area of S is at least 3 times the area of a rectangle that is 9 inches wide. What is the greatest possible length in inches of the rectangle? Penny Nom lui répond. 





The length of a cut 
20040917 

Florita pose la question : My daughhter, who is a 9th grader is attempting to cut a piece of wood after determining the length of the cut for the hypotenuse. These are the measures:
a=4squared, b=6squared.
She determined that c should equal 52. But when she measured the actual piece to be cut, c measured 39.5 inches! Can you offer any insight as to what she is doing wrong? I have suggested that she may be working with an Acute rather than a Right angle . But she insists that it is a Right angle after using a "framing square". Claude Tardif lui répond. 





The railing around a pool 
20040726 

Bob pose la question : I have a 15' circular above ground pool. Around the perimeter of the pool are eleven (11) sections of railing. Each rail has 5 slots at each end for pins. I have calculated that the length of the arc under the railing to be 51.4". what I am trying to determine is the distance between the end points of the arc so that I can figure out which slot to use in the rails without going round and round the pool moving and removing the rails until they finally fit. Been there, done that, no fun. Penny Nom lui répond. 





Two vector problems 
20040714 

Jaye pose la question : Two force, 120lb and 200lb, act on a body and make a 52 degree angle w/ ea. other. What's the magnitude of the resultant of the forces and what is the measure, to the nearest degree, of the angle that it makes with the 200lb force? Penny Nom lui répond. 





The dimsenions of a room 
20040518 

Estella pose la question : I have a room that is rectangular the area is 159.5 feet, the perimeter is 51 feet what would the dimensions of the room. Penny Nom lui répond. 





Laying decorative bricks 
20040107 

Duk pose la question : Loren is laying decorative brick along both edges of the 21meter walkway up to his house. Each brick is 0.26 meters long. He is placing the bricks end to end. How many bricks does he need to do the job? Penny Nom lui répond. 





The side length of a regular octagon 
20030809 

Rich pose la question : If I know the distance between the parallel lines of an octagon and want to find the length of the sides, can I just divide that distance by 2.414 to reveal the length of the sides? I work construction and just curious if I am figuring it right. Penny Nom lui répond. 





The length of fabric in a roll 
20030703 

Paul pose la question : We receive rolled fabric as part of our process and I would like to know is there a formula that could be used to estimate the overall length of the roll with out rolling the fabric out and measuring its length. Harley Weston lui répond. 





The length of an arc 
20030224 

Gavin pose la question : does anyone have a formula for calculating the length of an arc if I have the circle radius and the cord length of the arc?? Penny Nom lui répond. 





The dimensions of a box 
20021203 

Paula pose la question : My son, who is in secondary school, needs to make a box with the inside dimensions of 1.25 cubic feet. It's supposed to be more in the shape of a rectangle than a square. I would like to know the equation to use to find the inside dimensions of a box if I know how many cubic feet (or inches) I need the inside to be. Penny Nom lui répond. 





The length of an arc 
20021127 

Nancy pose la question : If all I have is the length between 2 ends of an arc (72"), how do I find the length of the arc at its apex and the radius? Penny Nom lui répond. 





How would you find the length of the chord? 
20021031 

A draftsperson pose la question : If given the length of an arc and the distance from the midpoint of the arc to the midpoint of a chord, how would you find the length of the chord and the radius of the arc. The chords endpoints are the same as the the arcs endpoints. Penny Nom lui répond. 





An equalateral polygon inscribed within an ellipse 
20020630 

Steven pose la question : How would you calculate the length of one of the sides of an equalateral polygon (of n sides) inscribed within an ellipse ( of any eccentricity ) where all of the vertices exactly touch the perimeter of the ellipse? I know that when the eccentricity is zero ( i.e a circle ) the formula: r * (sin(180/n) * 2) will suffice. But what about when the eccentricity is greater than zero? Chris Fisher lui répond. 





Chord length 
20020517 

Ashlie pose la question : How do you find the chord length of one section of a chord if you only have the diameter length and the other whole chord length. WV is the diameter and equals 16. XY is perpendicular to it, and equals 10. They intersect at pt. Z. I need to know what WZ equals. Please help! Penny Nom lui répond. 





Arc length 
20020417 

Vix pose la question : Find the point on the curve r(t)=(12sint)i(12cost)j+5tk at a distance 13pi units along the curve from the point (0,12,0) when t=0 in the direction opposite to the direction of increasing arc length. Harley Weston lui répond. 





An octagonshaped deck 
20020220 

An instructor pose la question : How can you solve for finding the side measurements of an octagonshaped deck that is 10 feet long and 10 feet wide. Penny Nom lui répond. 





Third side of Acute Triangle 
20011109 

Don pose la question : I gave this problem to my children, 9th and 12th grade and they are not(me too!) sure of the answer. I am trying to determine the length of the third side of an acute triangle. I know two of the lengths but I do not know the angles. Is there a proper formula to use to find the length of the third side? Thank you. Chris Fisher and Penny Nom lui répond. 





Fourier transform 
20010807 

Adbul pose la question :
 Sir, we have the Dirichlet's condition for the Fourier transform : " The function should be integral over the real line " But why we are we neglecting this for example when we take the Fourier transform of an impulse train?
 Suppose we want to travel from one corner of a square of side 'a' to the diagonally opposite corner. We can travel along the sides which gives a pah length of '2a'. We can also do it in steps as shown below:
_  _PATH  _ _____
Suppose The step size =DELTA x Then the path length will be again '2a'. Now in the limit DELTA x >0 again we get '2a' But when we take the limit we get the straight line diagonal whose length is 'SQRT(2)X a' Where did I go wrong? Chris Fisher lui répond. 





Arclength of an ellipse 
20010703 

A hobbyist pose la question : What is the equation (with the length of the arc as a variable) for one quadrant of the ellipse,... Claude tardif lui répond. 





The sides of an octagon 
20010413 

Craig pose la question : How do I figure the length of the sides of an octagon when all I know is the diameter (4.375). Penny Nom lui répond. 





Arc of a sphere 
20010304 

Some students pose la question : My friends and i have a geometry project and we cannot seem to figure out how to find the arc of a sphere. Harley Weston lui répond. 





Rotation 
20010125 

A student pose la question : If I have a rectangle 2inches long and 4 inches wide and I rotate the rectangle 45 degrees will the length still be 2 inches? Penny Nom lui répond. 





The magnitude of a complex number 
20001111 

Jeremy pose la question : Recently, we started studying how to graph complex numbers. Our math teacher said to use what would normally be the xaxis as the realaxis and to use the yaxis as the imaginaryaxis. However, when he started talking about how to calculate magnitude, that's when I became confused. For instance... Walter Whiteley lui répond. 





Length of a shadow 
20001101 

Jessy pose la question : A man who is six feet tall is walking away from a street light that is fifteen feet tall. How long is the man's shadow when he is ten feet away from the light? Penny Nom lui répond. 





A chord length 
20001017 

Al Paas pose la question : How to determine the length of a chord given the diameter of the circle and the maximum distance from the chord to The circle? Chris Fisher lui répond. 





The smaller of a and b 
20000914 

Jenna pose la question : For any two real numbers, a and b, give a mathematical expression in terms of a and b that will yield the smaller of the two numbers. Your expression should work regardless of whether a>b, a Penny Nom lui répond. 





Side length of an octagon 
20000422 

Unknown pose la question : If I have an octagon that is 12 feet across (side to opposite side) how can I find the length of the sides? Harley Weston lui répond. 





History of a meter 
20000407 

Jarod Fischer pose la question : The length of a meter has been determined in three different ways. The first and original way was determined in 1798. The second way was determined in 1960. The third and current way was determined in 1983. What were the three ways and why were the first two abandoned? Harley Weston lui répond. 





The side length ratios of some triangles 
20000404 

Alexis Lockwood pose la question : I am doing a project for my Math 30B class regarding the side length ratios of 454590 degree and 306090 degree triangles. I would really appreciate any assistance in answering the following questions, or even direction to an appropriate web site or resource on the matter. Harley Weston lui répond. 





Pi 
20000222 

Shelley Collier pose la question : Numbers that can be written in the form p/q where p and q are integers, (q not 0), are known as rational numbers. What you are missing is that p and q must be integers. The fact that Pi is irrational means that you can't have a circle with both the circumference and diameter being integers. In fact you can't even have the circumference and diameter both rational since the quotient of two rationals is again a rational. Claude Tardif and Penny Nom lui répond. 





Arclength of a circle 
20000119 

Holly pose la question : What is the formoula for finding the arc length of a central angle of a circle?? Harley Weston lui répond. 





A roll of paper 
20000115 

Richard pose la question : I have a roll of paper, wrapped around a corrugate core, whos diameter is 10.750 in. The outer diameter of the roll is approx. 60 in. The thickness of the paper is .014 in. I am trying to find out how much linear feet of paper is left on the roll, given only the diameter of paper remaining on the core. Chris Fisher and Harley Weston lui répond. 





Length of a line 
19991010 

Dagmara Sarudi pose la question : My question has to do with the length of a diagonal. This problem came up when I thought about the shortest distance between two points, for example walking from one point to another in my neighborhood. I can choose a zig zag route and assuming the blocks I walk are exactly the same length, it shouldn't matter what route I took, the distance I travel should still be the same when I reached my goal. If, on the other hand I could travel in a diagonal line, the distance would be shorter. But what if, in my zig zag motion, the sections get so small the route approaches a diagonal. Shouldn't it be that each separate section added together equals the value of the two original sides? Or would it suddenly equal the value of the diagonal (which, of course was shorter than the two sides added together)? What gives? Chris Fisher and Harley Weston lui répond.






Perimeter 
19990815 

Mel Nordan pose la question : The length of a rectangle is IS 3 1/2 times its width. Its perimeter is 108cm. Find its length and width. Choices for the width: 12,18,24 Penny Nom lui répond. 





Measuring the fourth dimension 
19990607 

Suzanne Hall pose la question : Hi! The other day, two of my students asked a very interesting question: Is the fourth dimension measured with hypercubes? Their reasoning went like this: Lines are 1D and are measured with line segments, which are part of a line. Planes are 2D and are measured with squares, which are part of a plane. Space is 3D and is measured with cubes, which are part of space. So, logically, hypercubes would be used to measure the fourth dimension. Chris Fisher lui répond. 





Girth 
19990526 

Carolyn Bulkley pose la question : I am trying to explain to my son (who is in the 8th grade) how to figure girth. I'm afraid I have just confused him. Is there a simply formula to figure the girth of a box. for example: I have a box that is 27" L X 22" W X 21" H. Penny Nom lui répond. 





The bricklayers formula 
19981124 

Rachel Kaplan pose la question : I have to do a report on the bricklayers formula N = 7LH. Can you give me any information on this. Harley Weston lui répond. 





A Hexagon 
19980922 

Lee Curtis pose la question : Could someone calculate this for me? If a hexagon is 38 feet 8 inches across, how wide would each of the six sides be? Thank you, Lee Curtis Chris Fisher and Harley Weston lui répond. 

