document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=539009>Question 539009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this,<BR>\n" );
document.write( "A running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with inner radius r. Find a formula for the area of the track in terms of pie and r. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353310 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=353310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with inner radius r. Find a formula for the area of the track in terms of pie and r<BR>\n" );
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document.write( "At ends of soccer field:<BR>\n" );
document.write( "Area of track= area of outer semi circle-area of inner semi circle<BR>\n" );
document.write( "Total area of inner semi circle for both ends=&#960;r^2<BR>\n" );
document.write( "Total area of outer semi circle for both ends=&#960;(r+4)^2<BR>\n" );
document.write( "Total area of track for both ends of soccer field=&#960;(r+4)^2-&#960;r^2=&#960;(r^2+8r+16)-&#960;r^2<BR>\n" );
document.write( "=&#960;r^2+8r&#960;+16&#960;-&#960;r^2=8r&#960;+16&#960;=8&#960;(r+2)\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "soccer field inside track<BR>\n" );
document.write( "width=2r<BR>\n" );
document.write( "length=twice width=4r<BR>\n" );
document.write( "Area of straight portion of track=2*4r*4=32r (for 2 sides)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Total area of track=8&#960;(r+2)+32r (m^2)\r<BR>\n" );
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document.write( "please check my calculations </SPAN>\n" );
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