SOLUTION: If a square is drawn inside of a circle such that its four corners are touching the interior edge of the circle, what is the ratio of the area of the square to the area of the circ

Question 498085: If a square is drawn inside of a circle such that its four corners are touching the interior edge of the circle, what is the ratio of the area of the square to the area of the circle? You should calculate and express your answer as a decimal ratio (i.e. .328 : 1)

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If a square is drawn inside of a circle such that its four corners are touching the interior edge of the circle, what is the ratio of the area of the square to the area of the circle?
You should calculate and express your answer as a decimal ratio
:
Let s = the side of the square
then
s^2 = area of the square
:
= the diagonal of the square, and the diameter of the circle
therefore
= the radius of the circle
:
= = = the area of the circle
:
Ratio of the area of the square to the area of the circle
=
Cancel s^2
= = 1:1.5707, square area:circle area

RELATED QUESTIONS
Diameter of a circle is 4cm. There is a square inside the circle with all four corners... (answered by Zucchini)

Hi, Thank you very much for what you do, it really means a lot. The small square is... (answered by cleomenius)

Hello. If I have a parallelogram inside a circle, with one corner touching the... (answered by greenestamps)

a 20' by 20' square has a circle, touching all 4 sides, inside it. the radius of the... (answered by josmiceli)

Circle C has radius √2 Squares with sides of length 1 are to be drawn so that, for... (answered by J2R2R)

a rectangle with dimensions of 5 x 8 is inscribed in a circle. what is the area and... (answered by stanbon)

A rectangle with dimension 5 x 8 is inscribed in a circle. What are the area and... (answered by Paul)

1. if a circle is inside a trapazoid(touching its sides) with one base 45 and the other... (answered by venugopalramana)

I have a square with a cirlce inside the square the square sides are 32cm the cirlce... (answered by edjones)