document.write( "Question 109821: A circular swimming pool is surrounded by a walkway 2m wide. Find the radius of the pool if the area of the walkway is 88m square? \n" ); document.write( "

Algebra.Com's Answer #80013 by josmiceli(19441) $\"\"$ $\"About$

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Let x be the radius of the pool
\n" ); document.write( "Then x+2 is radius of pool + walkway
\n" ); document.write( " $\"pi%2A%28x%2B2%29%5E2\"$ is area of pool + walkway
\n" ); document.write( " $\"pi%2Ax%5E2\"$ is area of pool
\n" ); document.write( "Area of walkway is the difference
\n" ); document.write( " $\"pi%2A%28x%2B2%29%5E2+-+pi%2Ax%5E2+=+88\"$
\n" ); document.write( " $\"pi%2A%28x%5E2+%2B+4x+%2B+4%29+-+pi%2Ax%5E2+=+88\"$
\n" ); document.write( " $\"pi%2A%284x+%2B+4%29+=+88\"$
\n" ); document.write( " $\"4x+%2B+4+=+88%2Fpi\"$
\n" ); document.write( " $\"4x+=+%2888%2Fpi%29+-+4\"$
\n" ); document.write( " $\"x+=+%2822%2Fpi%29+-+1\"$
\n" ); document.write( " $\"x+=+7.003+-+1\"$
\n" ); document.write( " $\"x+=+6.003\"$ m \n" ); document.write( "

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