document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #246038 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "Draw the picture.
\n" ); document.write( "Notice that the diagonal of the square is the diameter of the circle.
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\n" ); document.write( "Area of square = s^2 = 120 sq mm
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\n" ); document.write( "Diagonal^2 = side^2 + side^2
\n" ); document.write( "d^2 = 120 + 120
\n" ); document.write( "d^2 = 240
\n" ); document.write( "diagonal of the square = 4sqrt(15) mm
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\n" ); document.write( "Area of the circle = (pi)r^2
\n" ); document.write( "radius = 2sqrt(15)
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\n" ); document.write( "Area of the circle = (pi)(2sqrt(15))^2 = 60pi mm^2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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