document.write( "Question 1141716: a square is inscribed in a circle. If the area of the circle is 25π sq. mm, what is the area of the square? \n" ); document.write( "

Algebra.Com's Answer #762323 by josmiceli(19441) $\"\"$ $\"About$

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The diagonal of the square will be the same as
\n" ); document.write( "the diameter of the circle
\n" ); document.write( " $\"+A+=+25pi+\"$
\n" ); document.write( " $\"+A+=+pi%2Ar%5E2+\"$
\n" ); document.write( " $\"+25pi+=+pi%2Ar%5E2+\"$
\n" ); document.write( " $\"+r%5E2+=+25+\"$
\n" ); document.write( " $\"+r+=+5+\"$
\n" ); document.write( "This is half the diameter, so
\n" ); document.write( "diameter = $\"+10+\"$ , and the
\n" ); document.write( "diagonal also = $\"+10+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "Let $\"+x+\"$ = a side of the square
\n" ); document.write( "For a square
\n" ); document.write( " $\"+10+=+sqrt%282%29%2Ax+\"$
\n" ); document.write( " $\"+x+=+10%2Fsqrt%282%29+\"$
\n" ); document.write( " $\"+x+=+10%2Asqrt%282%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+5%2Asqrt%282%29+\"$
\n" ); document.write( "and
\n" ); document.write( "Area of square = $\"+x%5E2+\"$
\n" ); document.write( " $\"+x%5E2+=+25%2A2+\"$
\n" ); document.write( " $\"+x%5E2+=+50+\"$ mm2
\n" ); document.write( "get a 2nd opinion if needed \n" ); document.write( "

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