document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077071>Question 1077071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a piece of wire is 8 inches. It is then formed into a regular hexadecagon (polygon of 16 sides). What is the area of the polygon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691650 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=691650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The center and any two neighboring vertices of the polygon form an isosceles triangle, base side  of length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > inch.  Apex angle measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F16=22%261%2F2 ALIGN=MIDDLE  ALT=\"360%2F16=22%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees; each base angle  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%263%2F4 ALIGN=MIDDLE  ALT=\"78%263%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > degree each.\r<BR>\n" );
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document.write( "Length h, of either of the equal sides of one of these triangles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2822.5%29%2F%281%2F2%29=sin%2878.75%29%2Fh ALIGN=MIDDLE  ALT=\"sin%2822.5%29%2F%281%2F2%29=sin%2878.75%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Fsin%2878.75%29=%281%2F2%29%2Fsin%2822.5%29 ALIGN=MIDDLE  ALT=\"h%2Fsin%2878.75%29=%281%2F2%29%2Fsin%2822.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sin%2878.75%29%2F%282sin%2822.5%29%29 ALIGN=MIDDLE  ALT=\"h=sin%2878.75%29%2F%282sin%2822.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The ALTITUDE of one of these isosceles triangles:<BR>\n" );
document.write( "a, the altitude<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B%28%281%2F2%29%2F2%29%5E2=h%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2B%28%281%2F2%29%2F2%29%5E2=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B%281%2F4%29%5E2=%28sin%2878.75%29%2F%282sin%2822.5%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2B%281%2F4%29%5E2=%28sin%2878.75%29%2F%282sin%2822.5%29%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=%28sin%2878.75%29%2F%282sin%2822.5%29%29%29%5E2-1%2F16 ALIGN=MIDDLE  ALT=\"a%5E2=%28sin%2878.75%29%2F%282sin%2822.5%29%29%29%5E2-1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%28%281%2F4%29%28sin%2878.75%29%2Fsin%2822.5%29%29%5E2-1%2F16%29 ALIGN=MIDDLE  ALT=\"a=sqrt%28%281%2F4%29%28sin%2878.75%29%2Fsin%2822.5%29%29%5E2-1%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------the altitude.<BR>\n" );
document.write( "NOT finished.<BR>\n" );
document.write( "Simplify this and then calculate the area for the whole polygon of 16 sides.\r<BR>\n" );
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document.write( "Area,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%281%2F2%29%281%2F2%29%2Aa ALIGN=MIDDLE  ALT=\"16%281%2F2%29%281%2F2%29%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----substitute for a, and simplify this expression. </SPAN>\n" );
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