







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. 





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. 





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 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. 





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. 





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. 





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 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. 





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. 





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. 





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. 





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. 





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. 





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. 





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. 





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 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. 





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. 





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. 





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 
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. 





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. 





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 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. 





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. 





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.


