Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 3 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?

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nezivande0u · Accepted Answer

Begin by diagramming the two circles just as it states in theproblemNow determine the circumference of each circleOn the Right, we get 2  π(r+3)On the Left, we get   2  πrThe ratio of these must be 2:1      2    1    =            2      π      (      r      +      3      )              2      π      r        =            r      +      3        r  now we can use the first and last fractions and use crossmultiplication to solve for r  (  2  )  (  r  )  =  (  1  )  (  r  +  3  )    2  r  +  r  +  3    r  =  3which is the radius of the smaller circler+3=6is the radius of the larger circle

consider two circles, a smaller one and a larger one. If the larger one has a radius that is 3 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?

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