document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952115>Question 952115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "An equilateral triangle is inscribed in a circle with a radius of 6 ft. Find the area of the shaded region shown. Give the exact answer. (Do not approximate <BR>\n" );
document.write( "&#960; or any square root.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581467 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Where is the shaded region?<BR>\n" );
document.write( "****************<BR>\n" );
document.write( "student answer<BR>\n" );
document.write( "Its a circle with a triangle in the middle. The shaded region is the area around the triangle<BR>\n" );
document.write( "***************<BR>\n" );
document.write( "The area of the circle = pi*r^2 = pi*6^2 = 36*pi<BR>\n" );
document.write( "The side(s) of the equilateral triangle is calculated<BR>\n" );
document.write( "s = square root(3)*r, where r is the radius of the circle<BR>\n" );
document.write( "s = 6*square root(3)<BR>\n" );
document.write( "**************<BR>\n" );
document.write( "The height(h) of the equilateral triangle is calculated using the pythagorean theorem,<BR>\n" );
document.write( "ap^2 + (3*square root(3))^2 = 6^2, where ap is the apothem of the equilateral triangle<BR>\n" );
document.write( "ap^2 = 36 - 27 = 9<BR>\n" );
document.write( "ap = 3<BR>\n" );
document.write( "h = 6 + 3 = 9<BR>\n" );
document.write( "**************<BR>\n" );
document.write( "area of triangle = (1/2) * (6*square root(3)) * 9<BR>\n" );
document.write( "area of triangle = 27*square root(3)<BR>\n" );
document.write( "**************<BR>\n" );
document.write( "area of shaded area = (36*pi) - (27*square root(3) )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );