SOLUTION: A square with a perimeter of 16 inches is inscribed in a circle. What is the area not occupied by the square? Please show me how to do this step by step. THANK YOU!

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Question 606817: A square with a perimeter of 16 inches is inscribed in a circle. What is the area not occupied by the square?
Please show me how to do this step by step. THANK YOU!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the edge of the square is 4 (16/4), so the area is 4^2 or 16

the diagonal of the square is the diameter of the circle
___ the radius of the circle is half the diagonal of the square or 2√2 (4√2 / 2)

the area of the circle is ___ pi * r^2 or 8pi