document.write( "Question 1018930: Find the percentage areas for: ( correct 1 decimal place)
\n" ); document.write( "a) the largest square inside a circle
\n" ); document.write( "b) the largest circle inside a square\r
\n" ); document.write( "\n" ); document.write( "Please show all working. Thankyou
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Algebra.Com's Answer #634995 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
a) If the square is inside the circle, the diameter(\"D%5Bc%5D\") of the circle is equal to the diagonal of the square, \"D%5Bs%5D\".
\n" ); document.write( "\"A%5Bs%5D=s%5E2\"
\n" ); document.write( "So then,
\n" ); document.write( "\"D%5Bs%5D%5E2=s%5E2%2Bs%5E2=2s%5E2\"
\n" ); document.write( "and
\n" ); document.write( "\"A%5Bc%5D=%28pi%2F4%29%2AD%5Bc%5D%5E2\"
\n" ); document.write( "\"A%5Bc%5D=%28pi%2F4%29%2A%282s%5E2%29\"
\n" ); document.write( "\"A%5Bc%5D=%28pi%2F2%29s%5E2\"
\n" ); document.write( "So then,
\n" ); document.write( "\"A%5Bs%5D%2FA%5Bc%5D=%28s%5E2%29%2F%28%28pi%2F2%29%2As%5E2%29\"
\n" ); document.write( "\"A%5Bs%5D%2FA%5Bc%5D=2%2Fpi\"
\n" ); document.write( "b) If the circle is inside the square then the diameter of the circle will equal a side of the square.
\n" ); document.write( "\"A%5Bs%5D=s%5E2\"
\n" ); document.write( "\"A%5Bc%5D=%28pi%2F4%29D%5Bc%5D%5E2=%28pi%2F4%29s%5E2\"
\n" ); document.write( "So then,
\n" ); document.write( "\"A%5Bc%5D%2FA%5Bs%5D=%28%28pi%2F4%29s%5E2%29%2Fs%5E2\"
\n" ); document.write( "\"A%5Bc%5D%2FA%5Bs%5D=pi%2F4\"\r
\n" ); document.write( "\n" ); document.write( "
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