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!