document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167551>Question 1167551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle is inscribed inside an equilateral triangle. If the circumference of the circle is 6 cm, then the area of the triangle, in cm^2 is:\r<BR>\n" );
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document.write( "A) 27 √3 π<BR>\n" );
document.write( "B) 27 √3/π<BR>\n" );
document.write( "C) 27 √3/π^2<BR>\n" );
document.write( "D) 9 √3/π^2<BR>\n" );
document.write( "E) 9 √3 π<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 #792187 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=792187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Draw the figure.<br><BR>\n" );
document.write( "Draw the three altitudes of the equilateral triangle, intersecting at the center of the circle.  Those altitudes divide the equilateral triangle into six congruent 30-60-90 right triangles, in which the ratio of the side lengths is 1:sqrt(3):2.<br><BR>\n" );
document.write( "(1) The circumference of the circle is 6; find the radius using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+2%28pi%29r ALIGN=MIDDLE  ALT=\"c+=+2%28pi%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "(2) The radius of the circle is the short leg of one of the 30-60-90 right triangles.  Use the radius from (1) and the ratio 1:sqrt(3):2 to find the long leg of each of the 30-60-90 triangles.<br><BR>\n" );
document.write( "(3) The side length of the triangle is twice the length found in (2).<br><BR>\n" );
document.write( "(4) The area of an equilateral triangle with side length s is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2Asqrt%283%29%2F4 ALIGN=MIDDLE  ALT=\"s%5E2%2Asqrt%283%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "If you do all those calculations correctly, you should finish with answer choice C.<br><BR>\n" );
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