document.write( "Question 616264: Please help me solve the following problem. I have tried everything I can think of and am completely lost. the problem is: You want to install a 3 yard wide walkway around a circular swimming pool. The diameter of the pool is 18 yards what is the area of the walkway? I tried the area formula and subtracting the area of the pool but that was not it. Can you also show me the formula you used as well?
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document.write( "Thank you very very much,
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document.write( "Kayla \n" );
document.write( "
Algebra.Com's Answer #387585 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Area of Pool+Walkway\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*21^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: the radius in this case is 18+3 = 21 yards (draw out a picture to see this)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*441\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 441pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the exact area of the Pool+Walkway is 441pi square yards\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of the Pool Only\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*18^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = pi*324\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 324pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and the area of the Pool only is exactly 324pi square yards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = (Area of Pool+Walkway) - (Area of Pool Only)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = (441pi) - (324pi)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = 441pi - 324pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = (441 - 324)pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = (117)pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of Walkway = 117pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the exact area of the walkway only is 117pi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find the approximate area, replace pi with 3.14159 (use more digits of pi for greater accuracy) to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "117pi = 117(3.14159) = 367.56603\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=====================================================================================\r \n" ); document.write( "\n" ); document.write( "Answers:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Exact area of the walkway only: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Approximate area of the walkway only: 367.56603 square yards \n" ); document.write( " |