We know the formula for the area of a circle is
and for a square it is
The "r" is the diagonal. Now let's find the side of the square. It is
. Use trigonometry to find the diagonal.
We know two angles, namely the right angle and the 45.We know on side and considering the right angle is
, the hypotenuse is the diagonal and the other side of the square is the opposite. Find the sine.
Therefore the diagonal is
. Now put in the area
The Area is 56.54 or