document.write( "Question 1107785: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 10 feet larger than that of the smaller circle and the ratio of the circumferences is 6 colon 1, what are the radii of the two circles? \n" ); document.write( "
Algebra.Com's Answer #722814 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"circumference=2pi%2Aradius\"
\n" ); document.write( "If the circumferences are in a 6:1 ratio,
\n" ); document.write( "the radii are in a 6:1 ratio.
\n" ); document.write( "That means that the radius of the larger circle is 6 times the radius of the small one.
\n" ); document.write( "Let us call the small circle's radius \"x\" .
\n" ); document.write( "Then the large circle's radius is \"6x\" ,
\n" ); document.write( "and the difference between the radii is
\n" ); document.write( "\"6x-x=10ft\"
\n" ); document.write( "\"x=10ft%2F5\"
\n" ); document.write( "\"x=10ft%2F5\"
\n" ); document.write( "\"x=highlight%282ft%29\" is the radius of the small circle , and
\n" ); document.write( "\"2ft%2B10ft=highlight%2812ft%29\" is the radius of the large circle.
\n" ); document.write( "
\n" ); document.write( "
\n" );