document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181238>Question 1181238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the difference in area between the inscribed<BR>\n" );
document.write( "circle and the circumscribed circle in a 12-gon of<BR>\n" );
document.write( "edge length 2cm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811242 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "we need a diagonals across 6 sides (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D ALIGN=MIDDLE  ALT=\"d%5B6%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D ALIGN=MIDDLE  ALT=\"d%5B5%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D ALIGN=MIDDLE  ALT=\"d%5B4%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B3%5D ALIGN=MIDDLE  ALT=\"d%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   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=d%5B6%5D=%28sqrt%286%29%2Bsqrt%282%29%29%2Aa ALIGN=MIDDLE  ALT=\"d%5B6%5D=%28sqrt%286%29%2Bsqrt%282%29%29%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > ........given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2cm ALIGN=MIDDLE  ALT=\"a=2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D=%283.863703305156273%29%2A2cm ALIGN=MIDDLE  ALT=\"d%5B6%5D=%283.863703305156273%29%2A2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D=7.727cm ALIGN=MIDDLE  ALT=\"d%5B6%5D=7.727cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D+=+%28+2+%2B+sqrt%283%29+%29+%2A+2=7.464cm ALIGN=MIDDLE  ALT=\"d%5B5%5D+=+%28+2+%2B+sqrt%283%29+%29+%2A+2=7.464cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D+=+%28%28+3%2Asqrt%282%29+%2B+sqrt%286%29+%29+%2F+2%29+%2A+2=6.692cm ALIGN=MIDDLE  ALT=\"d%5B4%5D+=+%28%28+3%2Asqrt%282%29+%2B+sqrt%286%29+%29+%2F+2%29+%2A+2=6.692cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B3%5D+=+%28+sqrt%283%29+%2B+1+%29+%2A+2=5.464cm ALIGN=MIDDLE  ALT=\"d%5B3%5D+=+%28+sqrt%283%29+%2B+1+%29+%2A+2=5.464cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2+%5D=+%28%28+sqrt%286%29%2Bsqrt%282%29+%29+%2F+2%29%2A+2=+d%5B6%5D+%2F+2=3.864cm ALIGN=MIDDLE  ALT=\"d%5B2+%5D=+%28%28+sqrt%286%29%2Bsqrt%282%29+%29+%2F+2%29%2A+2=+d%5B6%5D+%2F+2=3.864cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then radius of circumcircle is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+d%5B6%5D+%2F+2+=+d%5B2%5D=3.864cm ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+d%5B6%5D+%2F+2+=+d%5B2%5D=3.864cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+3.864cm ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+3.864cm\"   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%5Bcc%5D=%283.864cm%29%5E2%2Api ALIGN=MIDDLE  ALT=\"A%5Bcc%5D=%283.864cm%29%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cc ALIGN=MIDDLE  ALT=\"cc\"   DISABLED_style= \"max-width:90%; height:auto;\" > stands for circumcircle <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bcc%5D=14.93%2Api%2Acm%5E2 ALIGN=MIDDLE  ALT=\"A%5Bcc%5D=14.93%2Api%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "radius of incircle  is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bi%5D=+d%5B5%5D+%2F+2=7.464%2F2=3.732cm ALIGN=MIDDLE  ALT=\"r%5Bi%5D=+d%5B5%5D+%2F+2=7.464%2F2=3.732cm\"   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=r%5Bi%5D=3.732cm ALIGN=MIDDLE  ALT=\"r%5Bi%5D=3.732cm\"   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%5Bic%5D=%283.732cm%29%5E2%2Api ALIGN=MIDDLE  ALT=\"A%5Bic%5D=%283.732cm%29%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ic ALIGN=MIDDLE  ALT=\"ic\"   DISABLED_style= \"max-width:90%; height:auto;\" > stands for incircle <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bic%5D=13.93%2Api%2Acm%5E2 ALIGN=MIDDLE  ALT=\"A%5Bic%5D=13.93%2Api%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the difference in area between the inscribed circle and the circumscribed circle in a 12-gon is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bcc%5D-A%5Bic%5D=14.93%2Api%2Acm%5E2-13.93%2Api%2Acm%5E2=pi ALIGN=MIDDLE  ALT=\"A%5Bcc%5D-A%5Bic%5D=14.93%2Api%2Acm%5E2-13.93%2Api%2Acm%5E2=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );