document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175877>Question 1175877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the area of the smaller of the two concentric circles if the side length of the equilateral triangle is 8cm?\r<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 #801595 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the area of the smaller of the two concentric circles if the side length of the equilateral triangle is 8cm?\r<BR>\n" );
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document.write( "let radius of greater circle be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >, radius of smaller circle be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  the height of the equilateral triangle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and  the side of the equilateral triangle<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "from the given image you can see that radius of greater circle is equal to height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=h ALIGN=MIDDLE  ALT=\"R=h\"   DISABLED_style= \"max-width:90%; height:auto;\" > of  the equilateral triangle, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=R%2F2=h%2F2 ALIGN=MIDDLE  ALT=\"r=R%2F2=h%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "if the side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=8cm ALIGN=MIDDLE  ALT=\"a=8cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28a%5E2-%28a%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28a%5E2-%28a%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%288%5E2-%288%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%288%5E2-%288%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%2864-16%29 ALIGN=MIDDLE  ALT=\"h=sqrt%2864-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%2848%29cm ALIGN=MIDDLE  ALT=\"h=sqrt%2848%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of the smaller of the two concentric circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=h%2F2 ALIGN=MIDDLE  ALT=\"r=h%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%2848%29%2F2 ALIGN=MIDDLE  ALT=\"r=sqrt%2848%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of the smaller circle is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=r%5E2%2Api ALIGN=MIDDLE  ALT=\"A=r%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28sqrt%2848%29%2F2%29%5E2%2Api ALIGN=MIDDLE  ALT=\"A=%28sqrt%2848%29%2F2%29%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2848%2F4%29%2Api ALIGN=MIDDLE  ALT=\"A=%2848%2F4%29%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12%2Api%2Acm%5E2 ALIGN=MIDDLE  ALT=\"A=12%2Api%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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