document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29601>Question 29601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular octagon is inscribed in a circle of radius 15.8. Find the perimeter of the octagon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16348 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a regular polygon, the length of one side, s, is given by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2Rsin%28180%2Fn%29 ALIGN=MIDDLE  ALT=\"2Rsin%28180%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where:<BR>\n" );
document.write( "s = the length of one side.<BR>\n" );
document.write( "R = The distance from the centre to one vertex. This is the same as the radius of the circumscribed circle, or 15.8<BR>\n" );
document.write( "n = The number of sides in the regular polygon. For this problem, we have an octagon, so n = 8.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+2%2815.8%29sin%28180%2F8%29 ALIGN=MIDDLE  ALT=\"s+=+2%2815.8%29sin%28180%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+31.6sin%2822.5%29 ALIGN=MIDDLE  ALT=\"s+=+31.6sin%2822.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+31.6%280.38%29 ALIGN=MIDDLE  ALT=\"s+=+31.6%280.38%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+12.1 ALIGN=MIDDLE  ALT=\"s+=+12.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The perimeter, P, of the regular octagon is n*s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+8%2812.1%29 ALIGN=MIDDLE  ALT=\"P+=+8%2812.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+96.8 ALIGN=MIDDLE  ALT=\"P+=+96.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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