document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173312>Question 1173312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an enclosure is to be constructed having part of its boundary along an existing straight wall. the other part of the boundary is to be fenced in the shape of an arc of a circle. if 100m of fencing is available, what is the area of the largest possible enclosure? into what fraction of the circle is the fence bent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798632 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor is of no use.<br><BR>\n" );
document.write( "He \"thinks\" that is the answer; and then his calculations are not correct.<br><BR>\n" );
document.write( "MY thought is that the problem can't be answered unless the radius of the circle is known.<br><BR>\n" );
document.write( "If the radius of the circle is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F%282pi%29 ALIGN=MIDDLE  ALT=\"100%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or about 15.9, then the 100m of fencing will enclose a complete circle.<br><BR>\n" );
document.write( "If the radius of the circle is 50m, then the 100m of fencing will just reach across the circle, and the fence will be a straight line along the existing wall, making the area of the enclosure zero.<br><BR>\n" );
document.write( "A radius somewhere between those two extremes of 15.9m and 50m will produce an enclosure of maximum area, with part of the boundary along the existing wall.<br><BR>\n" );
document.write( "Perhaps the intent of the problem is in fact to determine the radius that produces the maximum area of the enclosure; but that seems to be a problem that can't be solved by any method I know.<br><BR>\n" );
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