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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "*** \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 \n" ); document.write( " |