document.write( "Question 571232: A park has just installed a circular fountain in 8 meters diameter. The park wants to pave a 1.5 meter wide path around the fountain. If paving costs 10 dollars per square meter, find the cost to the nearest dollar of the paved path around the fountain. \n" ); document.write( "
Algebra.Com's Answer #368023 by Theo(13342)![]() ![]() You can put this solution on YOUR website! fountain is 8 meters in diameter. \n" ); document.write( "this makes the radius equal to 4 meters. \n" ); document.write( "add 1.3 meters to make the radius of the outer edge of the path around the fountain equal to 5.3 meters. \n" ); document.write( "the area of the fountain is pi*r^2 = pi*4^2 = 16*pi square meters. \n" ); document.write( "the area of the path plus the fountain is pi*r^2 = pi*5.3^2 = 28.09*pi square meters. \n" ); document.write( "the difference between the larger area and the smaller area is the area of the path around the fountain. \n" ); document.write( "this is equal to 28.09*pi - 16*pi which is equal to 12.09*pi square meters. \n" ); document.write( "if you multiply this by $10.00 a square meter, then you get a total cost of $120.9 * pi dollars. \n" ); document.write( "this results in $379.818 dollars which rounds to $380 dollars. \n" ); document.write( "the diagram shows how this was done. \n" ); document.write( " ![]() \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |