document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745052>Question 745052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a regular polygon is 48 and its apothem is 6.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 #453679 by </B><A HREF=/tutors/aboutme.mpl?userid=savvyhush23><B>savvyhush23(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=savvyhush23><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=savvyhush23><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I hope you know what is the apothem of a regular polygon. If not just google it.\r<BR>\n" );
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document.write( "Ok, let us inscribed a circle in a regular polygon so that its radius is equal to the apothem.\r<BR>\n" );
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document.write( "The formula of Regular polygon Circumscribing a circle are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Perimeter+=+2nr+tan%28180%2Fn%29 ALIGN=MIDDLE  ALT=\"Perimeter+=+2nr+tan%28180%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+nr%5E2tan%28180%2Fn%29 ALIGN=MIDDLE  ALT=\"Area+=+nr%5E2tan%28180%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the perimeter formula, see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28180%2Fn%29=+Perimeter%2F2nr ALIGN=MIDDLE  ALT=\"tan%28180%2Fn%29=+Perimeter%2F2nr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute it to the Area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+nr%5E2%28P%2F2nr%29+=+r%2848%2F2%29 ALIGN=MIDDLE  ALT=\"Area+=+nr%5E2%28P%2F2nr%29+=+r%2848%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where r = 6<BR>\n" );
document.write( "Therefore, Area = 144 sq. unit. </SPAN>\n" );
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