document.write( "Question 1205152: Square ABCD is inscribed in a circle. Find the ratio of the area of the square to the area of the circle. \n" ); document.write( "
Algebra.Com's Answer #841797 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "We know that if a circle circumscribes a square, then the diameter of the circle is equal to the diagonal of the square.\r
\n" ); document.write( "\n" ); document.write( " \"d+=+2r\"\r
\n" ); document.write( "\n" ); document.write( "we also know that the area of square is\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29d%5E2\"\r
\n" ); document.write( "\n" ); document.write( "substituting \"d=2r\", area is\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29%282r%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%294r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=2r%5E2\" => the area of square expressed in terms of radius\r
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\n" ); document.write( "\n" ); document.write( " the area of the circle\r
\n" ); document.write( "\n" ); document.write( "\"A%5Bc%5D=pi%2Ar%5E2\"\r
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\n" ); document.write( "\n" ); document.write( " the ratio of the area of the square to the area of the circle\r
\n" ); document.write( "\n" ); document.write( "\"A%2FA%5Bc%5D=%282r%5E2%29%2F%28pi%2Ar%5E2%29=2%2Fpi\"\r
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