document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136671>Question 136671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this.<BR>\n" );
document.write( "\"Suppose you know the number of sides in a regular polygon,<BR>\n" );
document.write( "the lenght of each side, and the distance from each side to the centre.<BR>\n" );
document.write( "How can you determine its area?\"\r<BR>\n" );
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document.write( "THANK YOU!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100066 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you take one side of a regular polygon and the two segments that connect the endpoints of the side to the center, you will have formed a triangle.  The length of the side of the polygon is the base of the triangle and the distance from the side to the center is the altitude or height of the triangle.  Since there is one of these triangles for every side of the polygon, the total area of the polygon is the number of sides times the area of the triangle.  The area of one triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5BT%5D=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A%5BT%5D=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > where b is the length of the base and h is the height.  The area of the entire polygon is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5BP%5D=%281%2F2%29nbh ALIGN=MIDDLE  ALT=\"A%5BP%5D=%281%2F2%29nbh\"   DISABLED_style= \"max-width:90%; height:auto;\" > where n is the number of sides.  </SPAN>\n" );
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