document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106939>Question 1106939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular hexagon is inscribed inside a circle. The circle has a radius of 12 units.\r<BR>\n" );
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document.write( "A: What is the approximate measure of the apothem of the hexagon?\r<BR>\n" );
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document.write( "B: What is the approximate area of the hexagon?\r<BR>\n" );
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document.write( "Choose only one answer each for parts A and B.\r<BR>\n" );
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document.write( "	A: 10.39\r<BR>\n" );
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document.write( "	A: 18.48\r<BR>\n" );
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document.write( "	A: 13.86\r<BR>\n" );
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document.write( "	A: 8.49\r<BR>\n" );
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document.write( "	B: 665\r<BR>\n" );
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document.write( "	B: 499\r<BR>\n" );
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document.write( "	B: 374\r<BR>\n" );
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document.write( "	B: 306<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721964 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "When a regular hexagon is inscribed in a circle, the side length of the hexagon is equal to the radius of the circle.<br><BR>\n" );
document.write( "Viewing the regular hexagon as six equilateral triangles, the apothem of the hexagon is the altitude of an equilateral triangle with side length 12; the length of the apothem is (sqrt(3)/2) times the length of the side.<br><BR>\n" );
document.write( "A: the length of the apothem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"6%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is (to 2 decimal places) 10.39.<br><BR>\n" );
document.write( "The area of the hexagon is the area of the 6 equilateral triangles.  The area of an equilateral triangle wiht side length s is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%5E2%2Asqrt%283%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28s%5E2%2Asqrt%283%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "B: The area of the hexagon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%28%2812%5E2%2Asqrt%283%29%29%2F4%29+=+216%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"6%2A%28%2812%5E2%2Asqrt%283%29%29%2F4%29+=+216%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is (to the nearest whole number) 374.  </SPAN>\n" );
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