document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111917>Question 111917</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Find the area of a regular pentagon with apothem 15 meters. Show all work to receive credit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81673 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> apothem=r=15 m<BR>\n" );
document.write( "n=5<BR>\n" );
document.write( "beta=180(n-2)/n=180*3/5=108 deg=each interior angle. <BR>\n" );
document.write( "R, the radius of a circumscribed circle bisects each int angle.<BR>\n" );
document.write( "cot(54)=adj/opp<BR>\n" );
document.write( "adj=cot(54)*r=cot(54)*15=10.098...<BR>\n" );
document.write( "10.098...*2=21.796...=base of the triangle and a side of the pentagon<BR>\n" );
document.write( "1/2alt.*base=A<BR>\n" );
document.write( "1/2*15*21.796...=163.472... m^2<BR>\n" );
document.write( "There are 5 triangles in the regular pentagon.<BR>\n" );
document.write( "5*163.472...=817.36...m^2 area of the pentagon.<BR>\n" );
document.write( "Ed<BR>\n" );
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