document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034618>Question 1034618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pony is tethered to one corner of a 20 -foot by 40- foot barn in the middle of a large grassy field. The rope is 50 feet long. Over what area can the pony graze.(he can't go in the barn, and there isn't any grass in there..) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649261 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the barn is 20 by 40.<BR>\n" );
document.write( "the pony is tethered to one corner of the barn.<BR>\n" );
document.write( "the length of the rope is 50.<BR>\n" );
document.write( "the area of a circle is equal to pi * r^2.<BR>\n" );
document.write( "the length of the rope is equal to r, which is the radius of the circle.<BR>\n" );
document.write( "for 3/4 of the circle, he has the full radius of the rope at his disposal.<BR>\n" );
document.write( "the area covered is 3/4 * pi * 50^2 = 3/4 * pi * 2500 = 7500/4 * pi = 1875 * pi square feet.<BR>\n" );
document.write( "he has 30 foot radius of a circle left that was formed from the opposite corner on the 20 foot side.<BR>\n" );
document.write( "the area he can cover, that has not already been covered, is 1/4 * pi * 30^2 = 1/4 * pi * 900 = 225 * pi square feet.<BR>\n" );
document.write( "he has 10 foot radius of a circle left that was form from the opposite corner on the 40 foot side.<BR>\n" );
document.write( "the area he can cover, that has not already been covered, is 1/4 * pi * 10^2 = 1/4 * pi * 100 = 25 * pi square feet.<BR>\n" );
document.write( "the total area he can cover is:<BR>\n" );
document.write( "1875 * pi square feet plus ...<BR>\n" );
document.write( "225 * pi square feet plus ...<BR>\n" );
document.write( "25 * pi square feet plus ...<BR>\n" );
document.write( "equals 2125 * pi square feet.<BR>\n" );
document.write( "that's equal to approximately 6675.884388878square feet.<BR>\n" );
document.write( "the diagram of the area he can cover is shown below:<BR>\n" );
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