SOLUTION: A circle is circumscribed about a square. What is the ratio of the area of the circle to the area of the square?

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Question 257209: A circle is circumscribed about a square. What is the ratio of the area of the circle to the area of the square?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of the square is the radius of the circle.
For a square the diagonal (L) is,
L=sqrt%282%29%2As
so then
R=sqrt%282%29%2As
A_circle=pi%2AR%5E2=pi%2A2%2As%5E2=2%2Api%2As%5E2
A_square=s%5E2
So then the ratio of the area of the circle to the area of the square is 2%2Api