document.write( "Question 901873: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4 colon 1, what are the radii of the two circles? \n" ); document.write( "
Algebra.Com's Answer #547002 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4 colon 1, what are the radii of the two circles? \n" ); document.write( "---------------------------- \n" ); document.write( "Larger Circle DATA:: \n" ); document.write( "radius = x+6 ; circumference = 2pi(x+6) \n" ); document.write( "------ \n" ); document.write( "Smaller Circle DATA: \n" ); document.write( "radius = x ; circumference = 2pi*x \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "(2pi(x+6)/2pi*x) = 4/1 \n" ); document.write( "--------------------------- \n" ); document.write( "8pi*x = 2pi(x+6) \n" ); document.write( "------- \n" ); document.write( "4x = x+6 \n" ); document.write( "3x = 6 \n" ); document.write( "x = 2 (radius of smaller circle) \n" ); document.write( "x+6 = 8 (radius of larger circle) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------------- \n" ); document.write( " |