Solve the problem.
-For a circle of radius 4 feet, find the arc length s subtended by a central angle of 60°. Round to the nearest hundredth.
A) 4.25 ft
B) 4.40 ft
C) 4.19 ft
D) 4.35 ft

Question

Quizplus · Accepted Answer

The arc length $ s $ of a circle is given by the formula $ s = r\theta $, where $ r $ is the radius of the circle and $ \theta $ is the central angle in radians. To find the arc length for a central angle of 60°, first convert 60° to radians: $ 60° = \frac{60\pi}{180} = \frac{\pi}{3} $ radians. Then, use the formula with $ r = 4 $ feet and $ \theta = \frac{\pi}{3} $ radians: $ s = 4 \times \frac{\pi}{3} \approx 4.19 $ feet.

Solve the Problem. -For a Circle of Radius 4 Feet, Find the Arc