Question 343933: a square is inscribed in a circle the area of the square is 120 square mm. what is the area of the circle? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a square is inscribed in a circle the area of the square is 120 square mm. what is the area of the circle?
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Draw the picture.
Notice that the diagonal of the square is the diameter of the circle.
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Area of square = s^2 = 120 sq mm
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Diagonal^2 = side^2 + side^2
d^2 = 120 + 120
d^2 = 240
diagonal of the square = 4sqrt(15) mm
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Area of the circle = (pi)r^2
radius = 2sqrt(15)
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Area of the circle = (pi)(2sqrt(15))^2 = 60pi mm^2
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Cheers,
Stan H.
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