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Two circles are drawn below. The diameter of the smaller circle is a radius of the larger circle. What is the ratio of the smaller circle's circumference to the larger circle's circumference?

 

 Nov 9, 2017
 #1
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Let the smaller circle's radius  = r  ⇒ circumference =  2pi r

 

And the larger circle has a radius twice the smaller  = 2r  ⇒  circumerence = 2pi (2r)  =

4 pi r

 

So...the ratio of their circumferences  =

 

[ 2 pi r ] : [ 4 pi r ]  =  2 : 4  =  1 : 2

 

 

cool cool cool

 Nov 9, 2017

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