document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015309>Question 1015309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 5 feet larger than that of the smaller circle and the ratio of the circumferences is 2:1, what are the radii of the two circles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631661 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> circumference of the smaller circle is 2*pi*r\r<BR>\n" );
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document.write( "cicumference of the larger cicle is 2*pi*(r+5)\r<BR>\n" );
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document.write( "2*pi*(r+5)/2*pi*r = 2/1\r<BR>\n" );
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document.write( "the 2*pi in the numerator and denominator cancel out and you are left with:\r<BR>\n" );
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document.write( "(r+5/r = 2/1\r<BR>\n" );
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document.write( "cross multiply to get 2*r = r+5\r<BR>\n" );
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document.write( "subtract r from both sides of the equation to get 2*r - r = 5\r<BR>\n" );
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document.write( "combine like terms to get r = 5.\r<BR>\n" );
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document.write( "therefore r+5 = 10.\r<BR>\n" );
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document.write( "the radius of the smaller circle is 5 feet and the radius of the larger circle is 10 feet.\r<BR>\n" );
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document.write( "circumference of the smaller circle is 2*pi*r = 2*pi*5 = 10*pi.\r<BR>\n" );
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document.write( "circumference of the larger circle is 2*pi*r = 2*pi*10 = 20*pi.\r<BR>\n" );
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document.write( "circumference of the larger circle is two times the circumference of the smaller circle.\r<BR>\n" );
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document.write( "the radii of the two circles are 5 feet and 10 feet.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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