document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013638>Question 1013638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:<BR>\n" );
document.write( "a. The diameter of the circle.<BR>\n" );
document.write( "b. The area of the circle.<BR>\n" );
document.write( "c. The area of the pentagon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629908 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:<BR>\n" );
document.write( "Side of the pentagon s = 284/5 = 56.8 cm<BR>\n" );
document.write( "----<BR>\n" );
document.write( "a. The diameter of the circle.<BR>\n" );
document.write( "The radius is the apothem.<BR>\n" );
document.write( "r = (s/2)*cot(36) =~ 39.089 cm<BR>\n" );
document.write( "d = 78.178 cm<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "b. The area of the circle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"Area+=+pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=~ 4800.257 sq cm<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "c. The area of the pentagon.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4 ALIGN=MIDDLE  ALT=\"Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > n = # of sides = 5<BR>\n" );
document.write( "= 5*56.8^2*cot(36)/4<BR>\n" );
document.write( "=~ 5550.76 sq cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );