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The sides of a 5-pointed star inscribed in a circle 2021-09-18
Scott pose la question :
Is there a calculation for the length of each side of a five-pointed 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.
A circle inscribed in a triangle 2019-04-28
Daksh pose la question :
O is the centre of the inscribed circle in a 30°-60°-90° triangle ABC right angled at C. If the circle is tangent to AB at D then the angle COD is-
Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2019-01-29
Penny pose la question :
What is the length of each side of the largest equilateral triangle that fits inside a 3 inch diameter circle?
Penny Nom lui répond.
A circle inscribed in a regular polygon 2018-07-12
Naveen pose la question :
The radius of inscribed circle for n sided regular polygon of a side a is? Please with proof
Penny Nom lui répond.
Seven tangent circles 2018-04-23
Domenick pose la question :
How to calculate the circumscribed and inscribed circles formed by seven .019685 diameter circles arranged in a circle with all seven circles tangent to each other?
Penny Nom lui répond.
A circle inscribed in a quarter circle 2018-04-16
abhijeet pose la question :
ABC is a quarter circle and a smaller circle is inscribed in it. if AB = 1cm then find the radius of smaller circle
Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2018-03-15
Olatundun pose la question :
An Equilateral Triangle Of Side 20cm Is Inscribed In A Circle.Calculate The Distance Of A Side Of The Triangle From the Centre Of The Circle.
Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2017-09-15
sumit pose la question :
what is the area (in sq. unit) of an equilateral triangle inscribed in the circle x^2+y^2-4x-6y-23=0.
Penny Nom lui répond.
Quadrilateral ABCD is inscribed in a circle 2017-09-11
Joie pose la question :
Quadrilateral ABCD is inscribed in a circle such that side DA is the diameter. AB=2m., BC=4m., CD=6m., angle BAD=75.93degrees. Find the area of the quadrilateral.
Penny Nom lui répond.
A polygon inscribed in a circle 2017-05-27
Levan pose la question :
This was the closest to what I am trying to solve. http://mathcentral.uregina.ca/QQ/database/QQ.09.06/s/dj1.html

So in the answer linked, we figure out what is "c".

But what if we know "c" and want to find out "n" based on specific "r=1".

It might be simple math, but I have not had any relationship with math for 20 years now but this question puzzles me for a reason.

Penny Nom lui répond.
A trapezoid inscribed in a circle 2017-05-17
Kameron pose la question :
I have been given a challenge problem that states that Diameter AB is drawn in a circle if 10 inch. Chords AC and BD are drawn so that each is of length 12inch and ACDB is a trapezoid. Find the height, in inches, of the trapezoid
Penny Nom lui répond.
A circle inscribed in a 30-6-90 triangle 2017-04-07
Kameron pose la question :
i have been given a problem with a 30-60-90 triangle and a circle inscribed with a radius of 2 and was told to find the perimeter of the triangle
Penny Nom lui répond.
A circle inscribed in an isosceles triangle 2017-01-14
Sal pose la question :
There is a right isosceles triangle. Inscribed inside of it, is the largest possible circle. Ho do you find the value of the radius?

I want to find out a way of only using the rules/laws of geometry, or is that not possible.

Penny Nom lui répond.
A circle inscribed in an equilateral triangle 2016-11-27
jo pose la question :
what is the radius of the inscribed circle of an equilateral triangle with altitude 12 units?
Penny Nom lui répond.
A cone inscribed in a hemisphere 2016-08-07
anonymous pose la question :
A cone is inscribed in a hemisphere. the slant height of the cone is 20cm. When cut along its slant height, the cone forms a sector of a circle.
find the angle of the sector, to the nearest 1 decimal place.

Penny Nom lui répond.
A triangle inscribed in a circle 2016-04-22
Olyana pose la question :
I am struggling with this question! Help!

So, there is a circle. In the circle, there is an equilateral triangle inscribed. Each side of the triangle is 20. There is no other info given, other than the triangle is inscribed in the circle and the sides of the triangle are 20. I am supposed to find the radius of the circle! Please help!

Penny Nom lui répond.
An isosceles triangle inscribed in a circle 2016-03-25
NIHAL pose la question :
A isosceles triangle is inscribed in a circle having sides 20cm,20cm,30cm. find the radius of circle
Penny Nom lui répond.
A circle is inscribed in a hexagon 2015-12-28
Lalitesh pose la question :
A circle is inscribed in a regular hexagon ABCDEF
Prove that AB+CD+EF=BC+DE+FA

Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2015-06-11
Casey pose la question :
I have an equilateral triangle inscribed in a circle - this triangle has been bisected to give me 2 right triangles. I know the length of the line bisecting the equilateral triangle is 36 inches. How do I figure out the circumference of the circle and the length of the sides of the equilateral triangle?
Penny Nom lui répond.
A pentagon inscribed in a circle 2015-05-30
Victoria pose la question :
find the area of a regular pentagon inscribed in a circle with radius 3 units
Penny Nom lui répond.
A triangle inscribed in a circle 2015-05-07
R2D2 pose la question :
A triangle is inscribed in a circle of radius 10. If two angles are 70 degrees and 50 degrees find the length of the side opposite the third angle?
Chris Fisher lui répond.
A circle inscribed in a square 2015-04-19
michael pose la question :
A circle is drawn in a square PQRS. If the total area of the shaded portion of the square is 42 cm square, calculate the radius of the circle
Penny Nom lui répond.
An 8 pointed star inscribed in a circle 2015-04-10
Kermit pose la question :
How do you find the area of the star that is formed by two squares and surrounded by a circle. The only given information is that the radius of the circle is 10.
Penny Nom lui répond.
An isosceles triangle inscribed in a circle 2015-03-23
Rachel pose la question :
Triangle ABC is an isosceles triangle inscribed in circle O. If each leg of the triangle is 13cm and the altitude to the base of triangle ABC is 5cm, find the radius of the circle.
Penny Nom lui répond.
An irregular convex octagon 2014-11-13
james pose la question :
I have an irregular convex octagon, alternating between 4 large edges, say 'a' mm long and 4 small edges, say 'b' mm long, is there a formula available so that I can work out the minimum size sit a circle with a radius of 34.25mm inside it thank you
Chris Fisher lui répond.
A circle a square and a rectngle 2014-05-12
mazhar pose la question :
suppose the length and breadth of the rectangle are 5 cm and 10 cm respectively and M is a point along the corner of the circle. what is the radius of the circle?(diagram is given..but i didn't mention it..actually the diagram looks like a circle inscribed in a square and the right bottom corner one rectangle will be given ,it is touches to circle at a point M that I've already mentioned and the dimensions of that rectangle also I've mentioned) please help me out..
Penny Nom lui répond.
Cutting a hexagon from a disk 2014-04-05
Paul pose la question :
I am a machinist and sometimes need to make a hex from round material.
If I know the distance of the flat sides opposite one another of my hex, how can I calculate the size of material I need to turn to give me the right diameter to finish the part with six sides?

Penny Nom lui répond.
A circle inscribed in a right triangle 2014-03-16
akshaya pose la question :
A circle with centre O and radius r is inscribed in a right angled triangle ABC. If AB=5 cm, BC=12 cm and < B=90*, then find the value of r.
Penny Nom lui répond.
A cone inscribed in a sphere 2014-02-28
joel pose la question :
how can I find the radius and the height of a cone INSCRIBED in a sphere, given the sphere having a radius of 6? ( note: the diameter of the cone is equal to its slanted height).
Penny Nom lui répond.
A rectangle inscribed in a circle 2014-01-10
Marian pose la question :
A 16 cm by 12 cm rectangle is inscribed in a circle. Find the radius of the circle.
Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2014-01-06
Anonymous pose la question :
An equilateral triangle with sides 6 inches is inscribed in a circle. What is the diameter of the circle?
Penny Nom lui répond.
A circle insubscribed in an isosceles trapezoid 2013-12-08
Bob pose la question :
A circle is insubscribed in an isosceles trapezoid, with parallel lengths of 8cm and 18cm. What is the lengths of sloping edges and why?
Robert Dawson lui répond.
A square inscribed in a circle 2013-10-14
Jenn pose la question :
Hello! I am about to buy a 7'9" round rug, but I want to have it cut down into a square. What's the largest square I can obtain from this? Thank you!
Penny Nom lui répond.
An equilateral triangle inscribed in a circle 2013-01-17
Nicole pose la question :
How do you find the shaded region of a circle if an unshaded equilateral triangle in inscribed in it. The only other things I know about the problem are that the side lengths of the equilateral triangle are 14 inches.
Penny Nom lui répond.
Milling round stock to square stock 2012-12-17
Bryan pose la question :
Question from Bryan:
I want to know what the smallest diameter round is that will make a 3-1/4" square? Is there a formula for that? I am milling round stock into square.
Thank you.

Harley Weston lui répond.
A circle inscribed in a triangle 2012-11-28
Angie pose la question :
Circle O is inscribed in triangle ABC. Angle A = 50 and angle B = 60. Find arc XY in dgrees
Penny Nom lui répond.
Two congruent circles in a rectangle 2012-10-20
Alexander pose la question :
Have you ever solved a problem, in which you have a rectangle, from which you need to cut the largest two circles of equivalent diameter? I bisected a rectangle diagonally, but the circles, while tangent to two of the sides, are not tangent to eachother. Can you devise a method for two equivalent circles, that are tangent to two sides, are also to eachother?

Take for example a piece of paper, Each if the two largest circles has a diameter that is greater than the distance to the midpoint of the diagonal bisector of the rectangle.

Chris Fisher lui répond.
An equilateral triangle and a regular hexagon in a circle 2012-09-11
Heidemarie pose la question :
The vertices of an equilateral triangle with side length of 10 sqrt 3 cm lie on a circle. Find the side length of the regular hexagon whose vertices lie on the same circle.
Penny Nom lui répond.
A regular hexagon inscribed in a circle 2012-07-25
jim pose la question :
A regular hexagon with an area of 24√3 is inscribed in a circle. What is the area of the circle?
Penny Nom lui répond.
A circle inscribed in a triangle inscribed in a circle 2012-04-26
Maty pose la question :
How do i find the area of a triangle inscribed a circle while another smaller circle is circumscribed by the same triangle and the radius is 8.
Chris Fisher lui répond.
A circle drawn around a equilateral triangle 2012-04-01
BIMAL pose la question :
what is the diameter of a circle drawn around a equilateral triangle of size 6 cm
Penny Nom lui répond.
A circle inscribed in a quarter circle 2012-02-20
sonam pose la question :
ABC is a quarter circle and a circle is inscribed in it and if AB=1cm than find radius of a small circle.
Penny Nom lui répond.
A cube inscribed in a sphere 2012-01-23
Gelo pose la question :
What are the largest volume and total surface area of a cube that may be inscribed inside a sphere whose radius is 5 kilometers.
Walter Whiteley lui répond.
A circle inscribed in a regular octagon 2012-01-16
Eric pose la question :
I have a circle inscribed in a regular octagon. How do I determine the length of one side of the octagon if I know the radius of the circle (2.75 inches) ?
p lui répond.
A trapezoid inscribed in a circle 2011-10-02
Greg pose la question :
A trapezoid is inscribed within a circle. The two interior angles who share the longest side are 70 and 80. The arc whose chord is the longest side has a length of 120. Find the other two interior angles of the trapezoid, and the other three arc lengths.
Chris Fisher lui répond.
A regular hexagon inscribed in a circle 2011-07-18
Courtney pose la question :
If ABCDEF is a regular hexagon inscribed in a circle of radius r, prove that the length of each side of the hexagon equals r.
Penny Nom lui répond.
A rectangle is inscribed in a circle 2011-07-17
Alexea pose la question :
A rectangle is inscribed in a circle of diameter 15in. Express the perimeter as a function of the width x.
Penny Nom lui répond.
A circle inscribed in a triangle 2011-05-07
Aishwarya pose la question :
The angles of a triangle are 50, 60, and 70 degrees, and a circle is touches the sides at A, B, C. Calculate the angles of the triangle ABC.
Penny Nom lui répond.
A circle is inscribed inside an isosceles trapezoid 2011-02-25
priyam pose la question :
a circle is inscribed inside an isosceles trapezoid (with parallel sides of length 18 cm and 32 cm) touching all its four sides. find the diameter of the circle. thanks for help!!
Penny Nom lui répond.
Limiting Cases in Geometry 2010-09-22
Niki pose la question :
Consider a rectangle inscribed in a circle with a radius or R. What are the possible perimeters for the rectangle?
Stephen La Rocque lui répond.
A square inscribed in a circle 2010-05-25
Middle pose la question :
what is the perimeter of a square inscribed in a circle of radius 5.0 inches?
Penny Nom lui répond.
An isosceles trapezoid is inscribed in a circle 2010-04-06
Abby pose la question :
An isosceles trapezoid whose bases have lengths 12 and 16 is inscribed in a circle of radius 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid
Penny Nom lui répond.
A regular hexagon and an equilateral triangle in a circle 2010-04-05
Beth pose la question :
A regular hexagon and an equilateral triangle are both inscribed in the same circle so that the hexagon and the triangle share three vertices. The radius of the circle is 10cm. What is the difference between the area of the hexagon and the area of the triangle?
Chris Fisher lui répond.
A rectangle inscribed in a circle 2010-03-24
sadiq pose la question :
here is the question, in my mathematics book there is equation of the area of the rectangle inscribed in a circle having equation x^2+y^2=a^2 and the area of rectangle is 4xy=4x(a^2-b^2)^1/2 i don't know what is b but a is surely the radius (i want the derivation for the area of rectangle).
Harley Weston lui répond.
A related rates problem 2010-03-03
Amanda pose la question :
A circle is inscribed in a square. The circumference of the circle is increasing at a rate of 6 inches per second. As the circle expands, the square expands to maintain the tangency. Determine the rate at which the area of the region between the circle and square is changing at the moment when the cricle has an area of 25(pi) square inches.
Penny Nom lui répond.
A regular pentagon 2009-12-14
Jamie pose la question :
A regular pentagon is inscribed in a circle of radius 4.5 cm. Determine its perimeter and area to one decimal place!

Thank YOU ! :)

Penny Nom lui répond.
An equilateral triangle is inscribed in a circle 2009-12-06
anna pose la question :
An equilateral triangle is inscribed in a circle of radius 6. Find x and the length of one side of the equilateral triangle. The picture is a triangle where the corners touch the sides of a circle and there is a line drawn down the middle of the triangle. A point labeled D which is in the triangle but im pretty sure that its marking the radius of the circle. From that point D is a line going from that point to the bottom left corner of the triangle. So this line shall make another mini triangle. The bottom of the big triangle is then split into 2 segments and the left segment is labeled x. Please help for I am stuck!
Penny Nom lui répond.
A pentagon inscribed in a circle 2009-07-29
Faisal pose la question :
O is the center of the circle. Sides AB and AE are equal. Angle B = 95, angle C = 130, angle D = 138. Find angles A and E. Diagram is attached. Best, Faisal
Chris Fisher lui répond.
A max-min problem 2009-04-20
Charlene pose la question :
A fixed circle lies in the plane. A triangle is drawn inside the circle with all three vertices on the circle and two of the vertices at the ends of a diameter. Where should the third vertex lie to maximize the perimeter of the triangle?
Penny Nom lui répond.
The volume of water in a cone 2009-03-17
Freddie pose la question :
A ball of diameter 20cm rests in a conical container whose angle with the slant height and the vertical axis is 25degrees. if water is poured into the container just enough to touch the bottom of the ball, find the quantity of water in the container.
Penny Nom lui répond.
A regular decagon is inscribed in a circle 2009-03-12
Renata pose la question :
A regular decagon is inscribed in a circle of diameter 36 feet. Approximate the perimeter and area of the decagon.
Robert Dawson lui répond.
A sphere in a cone 2009-02-10
Shubham pose la question :
An upturned conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered in the conical vessel filled with water and the size of sphere is such that it just touches the sides of cone and is just immersed. What fraction of water overflows?
Harley Weston lui répond.
A regular hexagon is inscribed in a circle. 2009-01-26
Thejas pose la question :
A regular hexagon is inscribed in a circle. If the perimeter of the hexagon is 42 inches, how many inches are in the circumference of the circle? How do you express this in the terms of pi?
Robert Dawson and Penny Nom lui répond.
Three circles inscribed in a circle 2008-12-18
seema pose la question :
three equal circles each of radius 1 cm are circumscribed by a larger circle.find the perimeter of circumscribing circle?
Robert Dawson lui répond.
A triangle inscribed in a circle 2008-11-17
Wanda pose la question :
I have the same question that you guys answered 2007-03-02. I need more clarification. I UNDERSTAND how to get the radius=3, I get that it is an equilateral triangle so each vertex is 60 degrees, I get that area of triangle is 1/2 bh. I DO NOT understand why we multiply area X 3 , or how to calculate the values of base and height. Please explain a little further. Thanks.
Wanda

Penny Nom lui répond.
Largest Inscribed Rectangle 2008-09-03
astrogirl pose la question :
find the shape and area of the largest rectangle that can be inscribed in a circle of a diameter a=2
Janice Cotcher lui répond.
Inscribed Rectangle 2008-07-30
Felicia pose la question :
A rectangle whose base is twice its altitude is inscribed in a circle whose radius is 5 mm. Find the area of the rectangle.
Penny Nom lui répond.
A square is inscribed within a square 2008-07-19
Shirley pose la question :
A square is inscribed within a square that has a side the measures 16 centimeters. The vertices of the smaller square are located at the midpoints of the sides of the larger square. What is the area of the larger square, area of a smaller square, the probability that a point chosen at random is in the shaded are? Express the answer as a simplified fraction.
Penny Nom lui répond.
A cube inscribed in a right cone 2008-07-16
Steven pose la question :
A cube is inscribe in a right cone of radius 2 and height 5. What is the volume of the cone?
Victoria West and Harley Weston lui répond.
An isosceles triangle inscribed in a circle 2008-07-15
Anne pose la question :
Here is the math problem quoted from book:
"An isosceles triangle is inscribed in a circle of radius R, where R is a constant. Express the area within the circle but outside the triangle as a function of h, where h denotes the height of the triangle."

Penny Nom lui répond.
Two triangles and a circle 2008-07-03
Anita pose la question :
An equilateral triangle with side of length 1 cm is inscribed in a circle. A second equilateral triangle is circumscribed about the circle with all sides tangent to the circle. Find the length of a side of the second triangle.
Harley Weston lui répond.
A circle inscribed in a square acre 2008-06-19
Scott pose la question :
Q'm trying to find out the sq footage of the corners of an acre. If an acre is 43,560 sq and if I have this right the surface area of the circumference is 1040 ft. what is the combined square footage of the 4 corners? Or the percentage the original acre?
Harley Weston lui répond.
How many bricks I can place around a 26-inch circle? 2008-05-22
Jon pose la question :
I want to know how many bricks I can place around a 26-inch circle? There must be a formula other than trial and error. The length of the bricks is 6-inches. [How many 6-inch tangents can be in a 26-inch circle? Thank you very much. Jon
Harley Weston lui répond.
A triangle inscribed in a semicircle 2008-05-19
Larissa pose la question :
Find the area of the shaded region outside of a triangle inscribed (meaning the all three points of the triangle are on the circle ) in a half circle of diameter 10 inches, if one side of the triangle is the diameter and the other side is 8 inches long. (A triangle that is inscribed in a triangle is a right triangle by definition.)
Penny Nom lui répond.
A rectangle inscribed in a circle 2008-04-27
sridhar pose la question :
A rectangle with perimeter 28 cm inscribed in a circle of radius 5 cm find the area ?
Penny Nom lui répond.
Angles subtended by the same arc 2008-03-23
Reid pose la question :
Prove that two inscribed angles subtended by the same arc are equal.
Stephen La Rocque lui répond.
A pentagon inscribed in a circle 2008-03-19
Elaine pose la question :
My question as written on my homework is: Given a pentagon inscribed in a circle of radius r, determine a) the angle between any two sides of the pentagaon b) the perimeter of the pentagaon c) the area of the pentagon. I know this kind of counts as three questions, so if you can only answer one, that's okay. Any help will be much appreciated. Thanks!
Stephen La Rocque lui répond.
Any regular polygon inscribed in a circle 2008-03-17
lindsay pose la question :
how do find the perimeter of a regular octagon inscribed in a circle with a radius of 5 units
Stephen La Rocque lui répond.
Inscribed square in a triangle 2008-01-27
Adrian pose la question :
Consider a right-angled triangle PQR, where QR is the base and PQ is the height. QR=4cm and PQ=3cm. A square is inscribed in this triangle.Determine the length of one side of the square.
Stephen La Rocque lui répond.
Finding the area of an isosceles triangle given one angle and the inradius 2008-01-24
Saurabh pose la question :
Given an isosceles Triangle, whose one angle is 120 and inradius is √3. So area of triangle is?
Stephen La Rocque lui répond.
Smallest cone containing a 4cm radius inscribed sphere 2007-12-19
Eva pose la question :
A sphere with a radius of 4cm is inscribed into a cone. Find the minimum volume of the cone.
Stephen La Rocque lui répond.
A circle inscribed in a triangle 2007-12-06
Linnea pose la question :
I have a tringle with a circle inscribed in it. My teacher wants me to find the radius of the circle. This is what she gave me to work with. The triangle is ABC, AB = AC = 6, and BC = 4. She also told us to use A(squared) + B(squared) = C(squared). and that there are altitudes and and incenter. I have no idea how to do this.
Harley Weston lui répond.
The area of an octagon inscribed in a circle 2007-12-01
Harry pose la question :
I need to find the area of an octagon in a circle. each point of the octagon touches the edge of the circle, and the circle's diameter = 4 cm. What is the area of the octagon
Penny Nom lui répond.
A circle is inscribed in a square 2007-10-28
Carolyn pose la question :
A circle is inscribed in a square. What percentage of the are of the square is inside the circle.
Victoria West lui répond.
Hexagon inscribed in a circle 2007-10-26
VIVEK pose la question :
what are the properties of a regular hexagon inscribed in a circle. If the radius of the circle is given then how to find the side of the regular hexagon
Stephen La Rocque lui répond.
Size of a sphere fitting inside a cone 2007-09-27
Juan pose la question :
I am supposed to find the largest sphere that will fit into a cone. I am assuming is a maximizing problem, but I am not sure of what relation (between a cone and a sphere) to use.
Penny Nom and Stephen La Rocque lui répond.
A cube in a sphere 2007-09-11
Justin pose la question :
What percent of the volume of a cube is occupied by the largest possible sphere centered in that cube?
Stephen la Rocque lui répond.
A rectangle inscribed in a circle 2007-09-11
Sobeida pose la question :
A rectangle that is x feet wide is inscribed in a circle of radius 8 feet. What is the area of the rectangle as a function of x. Thanks!
Stephen la Rocque lui répond.
Find the area of a regular pentagon inscribed in a circle 2007-08-03
Tracy pose la question :
Can you please help me with finding the area of a regular pentagon inscribed in a circle using the Pythagorean theorem. The radius of the circle is 5 cm and each side AB = BC = CD = DE = EA = 6 cm.
Stephen La Rocque, Leeanne Boehm and Chris Fisher lui répond.
Area of a star in a regular pentagon with side length 10cm 2007-07-24
Chetna pose la question :
A regular pentagon with side 10 cm has a star drawn within (the vertices match). What is the area of the star?
Stephen La Rocque lui répond.
Any regular polygon inscribed in a circle 2007-07-12
DJ pose la question :
Circle with r=12" is inscribed in a regular octagon. What is the length of each octagon segment? Note: Our answer works for any regular polygon inscribed in any circle.
Stephen La Rocque lui répond.
Finding the radius of an inscribed circle 2007-07-05
Maria pose la question :
I need to find the radius of a circle which is inscribed inside an obtuse triangle ABC. I know all the angles and all the lengths of the triangle.
Stephen La Rocque and Chris Fisher lui répond.
Area of circles within a circle 2007-04-08
Avaline pose la question :
Imagine that there are four small circles inscribed in a bigger circle. The 4 small circles are shaded. What is the ratio of the area of the shaded region to the area of the unshaded region?
Stephen La Rocque lui répond.
Radius of a circle in a square 2007-04-05
Lori pose la question :
A circle is inscribed in a square. What is the radius of the circle? If there is a small rectangle with a 2 ft. top and a 1ft side at the left in the square touching the corner of the circle.
Stephen La Rocque and Penny Nom lui répond.
The area of an inscribed triangle 2007-03-02
Caitlin pose la question :
What is the area of an equalateral triangle inscribed in a circle whose circumference is 6 pie?? PLEASE HELP
Penny Nom lui répond.
A pentagon inscribed in a circle 2007-02-22
Amanda pose la question :
Find the formula for calculating the length of the side of a pentagon given the radius of the circle that encloses it. Once you find the formula, find the length of the side of a pentagon which is enclosed in a circle 12 cm in diameter. So I need to know the formula, and the length of the side of the pentagon. Thank you!!
Penny Nom lui répond.
Perimeter of an octagon inside a circle 2007-02-08
Courtney pose la question :
a regular octagon is inscribed in a circle with a radius of 12 cm. find the perimeter of the octagon?
Stephen La Rocque lui répond.
A triangle inscribed in a semicircle 2007-02-06
Benneth pose la question :
Consider a triangle inscribed in a semicircle with a radius of R. What are th possible perimeters for the triagle? And the areas?
Penny Nom lui répond.
A rectangle inscribed in a circle 2007-02-04
Benneth pose la question :
Consider a rectangle with radius R inscribed in a circle. What are the possible areas of the rectangle?
Steve La Rocque and Walter Whiteley lui répond.
A circle inscribed in an octagon 2007-01-25
Anna pose la question :
If I know that the sides of my octagon are 8 units, how do I determine the radius of an inscribed circle?
Penny Nom lui répond.
An octagon inscribed in a square 2006-12-29
Richard pose la question :
An octagon is inscribed in a square so that the vertices of the octagon trisect the sides of the square. The perimeter of the square is 108 centimeters. What is the number of square centimeters in the area of the octagon?
Walter Whiteley lui répond.
A regular polygon inscribed in a circle 2006-12-19
Katy pose la question :
If a regular hexagon is inscribed in a circle of radius 6.72 centimeters, find the length of one side of the pentagon. How would I got about explaining this?
Penny Nom lui répond.
Creating a triangle in a circle 2006-11-28
Dirk pose la question :
My daughter has a school project where she must draw a circle and then draw an equilateral triangle inside the circle. She said you have to identify six points on the circle to correctly draw the triangle. How do you accomplish this?
Penny Nom lui répond.
The area of regular pentagon inscribed in a circle 2006-10-12
Admire pose la question :
i need help on how to find area of regular pentagon inscribed in a circle of radius 8cm
Stephen La Rocque and Penny Nom lui répond.
What is the diameter of the circle that contains this octagon? 2006-09-21
Dave pose la question :
if the distance between two parallel sides of an octagon is 350 cm, what is the diameter of the circle that contains this octagon (ie. a circle that touches all eight corners)?
Stephen La Rocque lui répond.
A cube inscribed in a sphere 2006-08-03
Glenn pose la question :
Given the diameter of the sphere 10cm. find the largest cube inscribe in the sphere.
Stephen La Rocque lui répond.
A square in a circle 2006-04-05
Lisa pose la question :
A square is inscribed in a circle. Determine the percent of the circle's area that is outside the square.
Stephen La Rocque lui répond.
A regular octagon is inscribed in a circle 2005-12-13
Carlin pose la question :
A regular octagon is inscribed in a circle of radius 15.8 cm. What is the perimeter of the octagon?
Penny Nom lui répond.
A cube in a sphere 2005-10-19
Damian pose la question :
A sphere passes through the eight corners of a cube side 10cm. Find the volume of the sphere.
Penny Nom lui répond.
A regular hexagon is inscribed in a circle. 2004-12-08
Abraham pose la question :
A regular hexagon is inscribed in a circle. What is the ratio of the length of a side of the hexagon to the minor arc that it intercepts?
(1) pi/6
(2) 3/6
(3) 3/pi (This is the correct answer.)
(4) 6/pi
I found the length of the minor arc to be (pi)(r)/3 by doing a sixth of the circumference(2pi r).But I can't find the length of the radius to finish off the problem. If I knew the radius I would then plug it into the above and then use the radius again to be the length of the side because the triangle(one of the six of a hexagon) is equilateral. But can you show me how to get the radius to be 3? Thank you so much.

Walter Whiteley lui répond.
Largest square inside a circle 2004-10-25
Bob pose la question :
my granddaughter asked
what is the largest size square in inches would fit in a 60 inch circle?
I believe it to be around 42.3 inches but would like to teach her how to do it mathematically.

Penny Nom lui répond.
A cube is inscribed inside a sphere 2004-08-18
A student pose la question :
A cube is inscribed inside a sphere with radius sqrt8cm. Find the
(a) length of the cube
(b) volume of the space inside the sphere but outside the cube.

Penny Nom lui répond.
A circle around an irregular polygon 2003-11-03
Dale pose la question :
How do I find the properties of a circle that is drawn around an irregular polygon of (n) sides with the lenghts of each side given and all end points of the polygon lye on the circumferance of the circle?
Chris Fisher lui répond.
A rectangle in a circle 2003-09-27
Abdu pose la question :
A rectangle ABCD is inscribed in a circle. If the length of AB is 5 and length of BC is 12, what is the area of circle outside the rectanlge ABCD?
Penny Nom lui répond.
A sphere inscribed in a cone 2003-08-10
A student pose la question :
A sphere with radius 5cm is inscribed in a right circular cone 20 cm in height.find

(a) the base radius ,volume of the cone
(b)volume of the shaded space( to 3 sig fig)

Penny Nom lui répond.
A polygon inscribed within an ellipse - Part 2 2002-07-08
Steven pose la question :
I recently sought your advice about a problem that I have been working on for eight years or so concerning a polygon inscribed within an ellipse. I think that I may have confused matters by the way in which I put the question and hope that the enclosed diagram will clear matters up. In the ellipse below I have drawn three chords inscribed within one quadrant ( this would pertain to a twelve sided figure within the whole ellipse). These chords are exactly the same length as each other, for example if the major axis of the ellipse was 360 and the minor axis 240 I have worked out that a twelve sided figure would have sides of 78.2487. However I worked this out empirically with a method that could only be described as gruelling I would be most grateful if you could tell me of a method that would work for any ellipse and any number of sides.
Chris Fisher lui répond.
An equalateral polygon inscribed within an ellipse 2002-06-30
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.
A triangle in a circle of radius 6 2002-03-26
Marko pose la question :
In a circle of radius 6, a triangle PQR is drawn having QR = 8 and PQ = 10. Determine the length of PR
Chris Fisher lui répond.
The isosceles triangle of smallest area 2002-03-08
Lettie pose la question :
can you find the isosceles triangle of smallest area that circumscribes a circle of radius of one?
Walter Whiteley lui répond.
Two circles inscribed in a rectangle 2002-02-27
Amina pose la question :
Given a rectangle with dimensions L=6, H=5. Two circles are inscribed such that they touch each other(circles are adjacent to each other) and also their circumferences touch 2 sides of the rectangle. One of the circles has radius=4. Find the radius of the other circle.
Penny Nom lui répond.
An octagon inscribed in a circle 2002-01-10
Kent pose la question :
A circle of 30 in. diameter has an octagon (8 equal chords) inscribed in it. What is the length of each chord?
Chris Fisher lui répond.
Inscribing a circle in a rhombus 2000-11-16
Jacky pose la question :
A rhombus ABCD is drawn in which the diagonals are 12 and 20 units long. A circle is inscribed in the quadrilateral with the centre of the circle right on the intersection point of the 2 diagonals. The circumference of the circle touches all 4 sides of the rhombus. Is it possible to find the radius of the inscribed circle? If so, how and what is it?
Chris Fisher lui répond.
A tetrahedron inscribed in a cube 1998-11-18
Jane pose la question :
In analyzing a cube, I would like to find a tetrahedron inscribed in the cube which has none of its faces in the planes of the faces of the cube. I would like to see this tetrahedron outlined in the cube.

My name is Jane and my e-mail address is BARSOIAN. I am an elementary education student.
Walter Whiteley lui répond.

Two Inscribed Trapezoids 1998-01-27
James pose la question :
A hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. The chord of the circle that divides the hexagon into two trapezoids, one with three sides each of length 3 and the other with three sides each of length 5, has length equal to m/n, where m and n are relatively prime positive integers. Find m+n.
Haragauri Gupta lui répond.
 
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