document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175812>Question 1175812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle is inscribed in an equilateral triangle that has side lengths of 2√3. Find the number of square units in the area of the cirle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801499 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you draw this out, the altitude is 3, because half the side length is sqrt (3)   and if a 30-60-90 triangle has sqrt(3), and 2 sqrt(3) as sides, the third side is sqrt(3)^2 or 3.<BR>\n" );
document.write( "the center of the circle is at the 2/3 mark of the altitude or radius 1. Also, the radius to a vertex has side sqrt(3), and the short side is 1.<BR>\n" );
document.write( "The area of the triangle is 1/2 bh=1/2*2 sqrt(3)*3=3 sqrt(3) units<BR>\n" );
document.write( "The area of the circle is π*r^2=π units  </SPAN>\n" );
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