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?

Question

anonymous · Answer

A = pi r^2

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

use the pythag thrm to find the length of the sides

amistre64 · Answer

s^2 + s^2 = diameter^2

2s^2 = d^2


          d^2
s^2 = ---
            2

             d^2
s = sqrt( --- )
                2

s = d/sqrt(2)

amistre64 · Answer

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

anonymous · Answer

Thanks so much! Cheers

anonymous · Answer

Something to ponder...