document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366958>Question 366958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radius of a circle is 23.<BR>\n" );
document.write( "I believe this makes the circumference of the circle equal to 1661.06<BR>\n" );
document.write( "A regular polygon must be circumscribed about this circle.<BR>\n" );
document.write( "The length of one side of this polygon is 2.6<BR>\n" );
document.write( "How do I find the number of sides of this circumscribed polygon?<BR>\n" );
document.write( "Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?<BR>\n" );
document.write( "Thank you for any help you can give.<BR>\n" );
document.write( "Sincerely,<BR>\n" );
document.write( "Janet  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261589 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=261589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The radius of a circle is 23.<BR>\n" );
document.write( "I believe this makes the circumference of the circle equal to 1661.06<BR>\n" );
document.write( "A regular polygon must be circumscribed about this circle.<BR>\n" );
document.write( "The length of one side of this polygon is 2.6<BR>\n" );
document.write( "How do I find the number of sides of this circumscribed polygon?<BR>\n" );
document.write( "Is there going to be a portion of the circumference that will have to have a side length a little shorter, so that all sides of the polygon are tangent?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "If the radius is 23, the circumference = 46*pi =~ 144.513<BR>\n" );
document.write( "That is not relevant to the problem, tho.<BR>\n" );
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document.write( "A polygon with sides of 2.6 means the angle subtended by each side at the center is 2 times the arctan (1.3/23)<BR>\n" );
document.write( "=~ 6.47 degrees<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "360/6.47 = 55.64 sides<BR>\n" );
document.write( "--> there is no such regular polygon\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );