Question

If a circle is circumscribed around a square and we know the radius of the circle how do we find the are of the square?

Answer 1

A = pi r^2

Answer 2

I know how to find the area of the circle, but I need the area of the square inside

Answer 3

the diagonal of the square is equal to the diameter of the circle

Answer 4

use the pythag thrm to find the length of the sides

Answer 5

s^2 + s^2 = diameter^2

2s^2 = d^2


d^2
s^2 = ---
2

d^2
s = sqrt( --- )
2

s = d/sqrt(2)

Answer 6

or simply stop at s^2 since the area of a square is s*s :)

Answer 7

Thanks so much! Cheers

Answer 8

Something to ponder...