Solve the problem.
-For a circle of radius 4 feet, find the arc length s subtended by a central angle of 30°. Round to the nearest hundredth.
A) 6.28 ft
B) 4.19 ft
C) 376.99 ft
D) 2.09 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 30°, first convert the angle to radians: $ 30° = \frac{\pi}{6} $ radians. Then, use the formula with $ r = 4 $ feet: $ s = 4 \times \frac{\pi}{6} = \frac{2\pi}{3} $ feet. When calculated, this gives approximately $ 2.09 $ feet.

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