document.write( "Question 363031: Each of two congruent circles drawn in the interior of a square is tangent to two adjacent sides of the square and to the other circle, as shown in the diagram. If the Measure of a side of the square is 16, find the radius of each circle. \n" ); document.write( "
Algebra.Com's Answer #258774 by Fombitz(32388)\"\" \"About 
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\n" ); document.write( "From the diagram,
\n" ); document.write( "\"X%2BR=8\"
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\n" ); document.write( "\"X%5E2%2BX%5E2=R%5E2\"
\n" ); document.write( "\"2X%5E2=R%5E2\"
\n" ); document.write( "\"X=R%2Fsqrt%282%29\"
\n" ); document.write( "\"X=%28sqrt%282%29%2F2%29R\"
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\n" ); document.write( "\"%28sqrt%282%29%2F2%29R%2BR=8\"
\n" ); document.write( "\"R=8%2F%281%2Bsqrt%282%29%2F2%29\"
\n" ); document.write( "\"R=16%2F%282%2Bsqrt%282%29%29\"
\n" ); document.write( "\"highlight%28R=8%282-sqrt%282%29%29%29\" or approximately,
\n" ); document.write( "\"R=4.69\"
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