document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571232>Question 571232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852428 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52908)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A park has just installed a circular fountain in 8 meters diameter. The park wants to pave a 1.5 meter wide path <BR>\n" );
document.write( "around the fountain. If paving costs 10 dollars per square meter, find the cost to the nearest dollar of the paved <BR>\n" );
document.write( "path around the fountain. <BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations in the post by @Theo are incorrect.<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "fountain is &nbsp;8 &nbsp;meters in diameter.\r<BR>\n" );
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document.write( "this makes the radius equal to &nbsp;4 &nbsp;meters.\r<BR>\n" );
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document.write( "add &nbsp;1.5 &nbsp;meters to make the radius of the outer edge of the path around the fountain equal to &nbsp;5.5 &nbsp;meters.\r<BR>\n" );
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document.write( "the area of the fountain is &nbsp;&nbsp;pi*r^2 = pi*4^2 = 16*pi &nbsp;square meters.\r<BR>\n" );
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document.write( "the area of the path plus the fountain is &nbsp;&nbsp;pi*r^2 = pi*5.5^2 = 30.25*pi &nbsp;square meters.\r<BR>\n" );
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document.write( "the difference between the larger area and the smaller area is the area of the path around the fountain.\r<BR>\n" );
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document.write( "this is equal to &nbsp;&nbsp;30.25*pi - 16*pi &nbsp;which is equal to &nbsp;14.25*pi &nbsp;square meters.\r<BR>\n" );
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document.write( "if you multiply this by &nbsp;$10.00 a square meter, &nbsp;then you get a total cost of &nbsp;$142.5 * pi dollars.<BR>\n" );
document.write( "this results in &nbsp;$447.6766 &nbsp;dollars which rounds to &nbsp;$447.68 &nbsp;dollars.\r<BR>\n" );
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document.write( "After rounding to the closest dollar, &nbsp;you get the answer of &nbsp;448 &nbsp;dollars.\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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