The ratio of the circumference of two circles is 3/2. The radius of the smaller circle is 8 inches. What is the radius of the larger circle?

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Answer 1 · 2016-11-14T15:08:42

The circumference is given by #2pir#.

#C = 2pir#

#C = 2pi(8)#

#C = 16pi#

Set up your proportion. Let #C# be the circumference of the larger circle.

#(16pi)/C = 2/3#

#C = (16pi xx 3)/2#

#C = 24π" inches"#

Solve for r:

#C = 2pir#

#24π = 2pir#

#r = (24pi)/(2pi)#

#r = 12" inches"#

Hopefully this helps!