document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148552>Question 148552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a hexagon is inscribed in a circle of radius 4. find the area of the hexagon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108890 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=108890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a hexagon is inscribed in a circle of radius 4. find the area of the hexagon.<BR>\n" );
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document.write( "Assuming it's a regular hexagon, there are 6 equilateral triangles with sides of 4.<BR>\n" );
document.write( "The area of each is bh/2, = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A2%2Asqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"4%2A2%2Asqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total area is 6 times that,<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"24%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= apx 41.57 square units<BR>\n" );
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document.write( "As a check, the area of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PI%2Ar%5E2 ALIGN=MIDDLE  ALT=\"PI%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50.265<BR>\n" );
document.write( "The circle will always be more than anything inscribed in it.<BR>\n" );
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