Solve the problem.
-For a circle of radius 4 feet, find the arc length s subtended by a central angle of $30 ^ { \circ }$. Round to the nearest hundredth.
A) $6.28 \mathrm { ft }$
B) $4.19 \mathrm { ft }$
C) $376.99 \mathrm { ft }$
D) $2.09 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The arc length $ s $ can be found using the formula $ s = r\theta $, where $ r $ is the radius and $ \theta $ is the central angle in radians. First, convert $ 30^\circ $ to radians: $ 30^\circ = \frac{30\pi}{180} = \frac{\pi}{6} $ radians. Then, calculate the arc length: $ s = 4 \times \frac{\pi}{6} = \frac{2\pi}{3} \approx 2.09 $ feet.

Solve the Problem 30∘30 ^ { \circ }30∘ Round to the Nearest Hundredth

Solve the Problem $30 ^ { \circ }$ Round to the Nearest Hundredth