Use the arc length formula and the given information to find the indicated quantity.
-$\mathrm { r } = 2 \mathrm { ft } , \theta = 36 ^ { \circ }$; find $\mathrm { s }$
A) $\frac { 1 } { 5 } \pi \mathrm { ft }$
B) $\frac { 2 } { 5 } \pi \mathrm { ft }$
C) $72 \mathrm { ft }$
D) $144 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The arc length $ s $ is given by the formula $ s = r\theta $ when $\theta$ is in radians. First, convert $36^\circ$ to radians: $36^\circ = \frac{36\pi}{180} = \frac{\pi}{5}$ radians. Then, $ s = 2 \cdot \frac{\pi}{5} = \frac{2}{5}\pi $ ft.

Use the Arc Length Formula and the Given Information to Find