Question 203091: A square is inscribed in a circle. The area of the square if 64 square centimeters. Determine the area of the shaded portion of the circle.
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Looking at square,, A=s^2 =64,,therefore s=8
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Diagonal of the circle is,,,,dia^2 = s^2 +s^2 = 2s^2,,,d=sqrt(2s^2)=ssqrt2 =8sqrt2
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Diagonal is diameter of the circle, therefore dia = 8sqrt2
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area circle = pi * r^2 = pi * (dia /2)^2 = pi * (8sqrt2)^2/4 = 100.53 cm^2
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Assuming shaded area is that between circle and square,
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A(shaded) = A(circle)- A(square)= 100.53-64 = 36.53 cm^2
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