document.write( "Question 1063165: *癧"A square is inscribed in a circle of area 18pi.Find the side of the square.(with explanation)癧"* \n" ); document.write( "

Algebra.Com's Answer #678190 by Fombitz(32388) $\"\"$ $\"About$

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The diagonal of the square is equal to the diameter of the circle.
\n" ); document.write( "So then the side of the square forms a right triangle,
\n" ); document.write( " $\"s%5E2%2Bs%5E2=D%5E2\"$
\n" ); document.write( " $\"2s%5E2=D%5E2\"$
\n" ); document.write( "You also know,
\n" ); document.write( " $\"%28pi%2F4%29D%5E2=18pi\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"D%5E2=72\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"2s%5E2=72\"$
\n" ); document.write( " $\"s%5E2=36\"$
\n" ); document.write( " $\"s=6\"$ \n" ); document.write( "

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