SOLUTION: square inside a circle and i don't have the book if the area of the square is 144 find the area of the circle

Question 140878: square inside a circle and i don't have the book
if the area of the square is 144 find the area of the circle

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
square inside a circle and i don't have the book
if the area of the square is 144 find the area of the circle
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A side of the square is sqrt(144) = 12
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The diagonal of the square is 12sqrt(2)
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The diagonal is the diameter of the circle.
(1/2) of the diagonal is the radius = 6sqrt(2)
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Therefore the area of the circle = (pi)(6sqrt(2))^2 = 72pi
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Cheers,
Stan H.
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