document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198770>Question 198770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve:\r<BR>\n" );
document.write( "\n" );
document.write( "Find the length of each side of a regular pentagon inscribed in a circle of radius  4 inches\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149277 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the pentagon is inscribed in a circle, then a side of the pentagon is a chord of the circle.  Since it is a regular pentagon, the angle subtended by such a chord is one-fifth of the circle, or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2\pi}{5}\"> radians.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Knowing the radius and the subtended angle, you can calculate the chord length using:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C = 2r\sin\left(\frac{c}{2}\right)\ =\ 2\cdot4\cdot\sin\left(\frac{\pi}{5}\right)\\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> is the radius of the circle and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large c\"> is the subtended angle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "All you need to do now is a little calculator work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );