document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057369>Question 1057369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circular swimming pool has diameter 50 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. A concrete sidewalk 5 feet wide encircles the pool, and the rest of the region is grass, as shown in the figure below. (I added a link to the picture used in the problem. https://www.dropbox.com/s/jxc7syj05xb0lrh/8-1-023.gif?dl=0 )\r<BR>\n" );
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document.write( "Find the surface area of the water<BR>\n" );
document.write( " Find the area of the concrete sidewalk<BR>\n" );
document.write( "Find the area of the grass\r<BR>\n" );
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document.write( "Some of these I believe I can solve (sidewalk and grass area), but the surface area is something I have not done in about 15 years, and I am very rusty with it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672428 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is easiest to start with the water surface and work your way outward.\r<BR>\n" );
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document.write( "The surface area of the water is just the area of the circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ad%5E2%2F4 ALIGN=MIDDLE  ALT=\"pi%2Ad%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the diameter is d = 50 ft, the surface area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A50%5E2%2F4 ALIGN=MIDDLE  ALT=\"pi%2A50%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1963.5 sq. ft\r<BR>\n" );
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document.write( "The 5 ft sidewalk around the perimeter of the pool makes a larger circle, with a diameter of 60 ft.\r<BR>\n" );
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document.write( "Find the area of this larger circle, and subtract the area of the water surface that was <BR>\n" );
document.write( "calculated above to get the area of the sidewalk:\r<BR>\n" );
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document.write( "Area of sidewalk = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A60%5E2%2F4+-+pi%2A50%5E2%2F4 ALIGN=MIDDLE  ALT=\"pi%2A60%5E2%2F4+-+pi%2A50%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2827.43 - 1963.50 = 863.93 sq. ft.\r<BR>\n" );
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document.write( "Finally, the area of the grass is the difference between the area of the fenced region, minus the area of the larger circle (2827.43 sq. ft):\r<BR>\n" );
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document.write( "Area of grass = (80 * 80) - 2827.43 = 3,572.57 sq. ft. </SPAN>\n" );
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