document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384131>Question 384131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express answer in exact form.\r<BR>\n" );
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document.write( "A regular hexagon with sides of 3\" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271927 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=271927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A regular hexagon with sides of 3\" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.<BR>\n" );
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document.write( "radius of the circle = 3\"<BR>\n" );
document.write( "Area of circle = 9*pi<BR>\n" );
document.write( "Area of hexagon = ns^2*cot(180/n)/4, n = 6, s = 3<BR>\n" );
document.write( "Area of hexagon = 54*cot(30)/4 = 54sqrt(3)/4 = 13.5sqrt(3)<BR>\n" );
document.write( "Difference = 9*pi - 13.5sqrt(3) for the whole circle and hexagon<BR>\n" );
document.write( "Divide by 6<BR>\n" );
document.write( "= 1.5*pi - 2.25sqrt(3) sq inches<BR>\n" );
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