document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313783>Question 313783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the area of a circle is equal to the area of an equilateral triangle , then the ratio of the side of the triangle to the radius of the circle is closest to which number ?\r<BR>\n" );
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document.write( "a   3   b   4   c   5   d   6  e  7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224509 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the area of a circle is equal to the area of an equilateral triangle,<BR>\n" );
document.write( " then the ratio of the side of the triangle to the radius of the circle is closest to which number?<BR>\n" );
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document.write( "Choose a value for the area; A = 60<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60<BR>\n" );
document.write( "r^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fpi ALIGN=MIDDLE  ALT=\"60%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2819.1%29 ALIGN=MIDDLE  ALT=\"sqrt%2819.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 4.37 is the radius<BR>\n" );
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document.write( "The triangle (s=side)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*s*h = 60<BR>\n" );
document.write( "Find the height of the triangle in terms of s<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28s%5E2+-+%28.5s%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28s%5E2+-+%28.5s%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28s%5E2+-+.25s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28s%5E2+-+.25s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.75s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28.75s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area of the triangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*s*h = 60<BR>\n" );
document.write( "s * h = 120; mult both sides by 2<BR>\n" );
document.write( "Replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.75s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28.75s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.75s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28.75s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 120<BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "s^2 * .75s^2 = 14400<BR>\n" );
document.write( ".75s^4 = 14400<BR>\n" );
document.write( "s^4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14400%2F.75 ALIGN=MIDDLE  ALT=\"14400%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s^4 = 19200<BR>\n" );
document.write( "Find the 4th root of both sides<BR>\n" );
document.write( "s = 19200^(1/4)<BR>\n" );
document.write( "s = 11.77 is the side of triangle<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11.77%2F4.37 ALIGN=MIDDLE  ALT=\"11.77%2F4.37\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~ 2.7, closest to 3<BR>\n" );
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document.write( "seems like there should be a more elegant way to do this, but I can't come up with it. <BR>\n" );
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