SOLUTION: A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle. What is the ratio of the area of the sq

Algebra.Com
Question 521597: A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle. What is the ratio of the area of the square to the area of the circle? Express your answer as a common fractin in terms of Pie.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle.
What is the ratio of the area of the square to the area of the circle? Express your answer as a common fraction in terms of Pie.
:
Let r = the side of the square and the radius of the circle
:
Square area: circle area: , r^2 cancel leaving

RELATED QUESTIONS

A square and a circle intersect so that each side of the square contains a chord of the... (answered by KMST)
Suppose that the area of a circle is numerically equal to three times the perimeter of a... (answered by lwsshak3)
A circle has a chord of length 10 cm. This chord is the perpendicular bisector of a... (answered by robertb)
Suppose that the area of a circle is numerically equal to the perimeter of a square and... (answered by josgarithmetic)
If a chord 10 inches long is 5 inches from the center of a circle, what is the radius of... (answered by ankor@dixie-net.com)
Suppose the area of a circle is numerically equal to the perimeter of a square and that... (answered by ankor@dixie-net.com)
a circle is inscribed in a square. write and simplify an expression for the ratio of the... (answered by fractalier)
Find the area of a circle inscribed in a square of side 28cm Hint:diameter of the... (answered by Boreal)
If 2 chords of a circle intersect at a point outside the circle, then prove that the... (answered by psbhowmick)