document.write( "Question 754477: A circular pool is surrounded by a circular walkway. The radius of the pool is x-6 and the radius of the walkway is x+6. Write a polynomial that represents the area of the walkway. \n" ); document.write( "
Algebra.Com's Answer #459123 by lwsshak3(11628)\"\" \"About 
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A circular pool is surrounded by a circular walkway. The radius of the pool is x-6 and the radius of the walkway is x+6. Write a polynomial that represents the area of the walkway.
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\n" ); document.write( "Area of walkway=area of pool and walkway-area of pool
\n" ); document.write( "Area of a circle=π radius^2
\n" ); document.write( "Area of walkway
\n" ); document.write( "=π(x+6)^2-π(x-6)^2
\n" ); document.write( "=π[(x+6)^2-(x-6)^2]
\n" ); document.write( "=π[x^2+12x+36-x^2+12x-36]
\n" ); document.write( "=24πx
\n" ); document.write( "area of the walkway=24πx
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