Solve the problem.
-On a circle of radius 18 meters, how long is an arc that subtends a central angle of $\frac { 5 \pi } { 6 }$ radians?
A) $3 \pi \mathrm { m }$
B) $90 \mathrm {~m}$
C) $15 \pi \mathrm { m }$
D) $15 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The length of an arc on a circle with radius $r$ and subtended by a central angle $	heta$ is given by $s=r	heta$. Plugging in $r=18$ and $	heta = \frac{5\pi}{6}$ gives $s=18\cdot \frac{5\pi}{6}=\frac{15\pi}{\cancel{6}}\cdot \frac{\cancel{6}}{5}= 3\pi$. Therefore, the answer is $\boxed{	extbf{(C) }15 \pi \mathrm { m }}$.

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