document.write( "Question 237226: The area of the largest rectangle inscribed in a circle of radius
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\n" ); document.write( "\n" ); document.write( "a)25 cm^2 b)50 cm^2 c) 100 cm^2 d)10 square root(2)cm^2 e) 20 square root(2)cm^2
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Algebra.Com's Answer #174452 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
The circle has a diameter of 10 cm. Let x= length of the side of the square. Draw the circle of diameter 10, showing the square with side of x inside the circle. You will see a right triangle, so by Theorem of Pythagoras \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+x%5E2+=+10%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2=+100\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+50\"\r
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\n" ); document.write( "\n" ); document.write( "Now this looks ugly, but remember that all you need to find is the AREA of the square. The area is \"x%5E2\", so this is the answer to the question: \r
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\n" ); document.write( "\n" ); document.write( "Area = \"x%5E2\"=50 sq cm.\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje
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