Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-$r = 14.43$ inches, $\theta = 210 ^ { \circ }$
A) $52.89$ inches
B) $52.99$ inches
C) $53.09$ inches
D) $53.19$ inches

Question

Quizplus · Accepted Answer

The length of an arc, $s$, on a circle can be calculated using the formula $s = r\theta$ where $r$ is the radius of the circle and $\theta$ is the central angle in radians. First, convert the angle from degrees to radians: $210^\circ = 210 \times \frac{\pi}{180} = \frac{7\pi}{6}$ radians. Then, calculate the arc length: $s = 14.43 \times \frac{7\pi}{6} \approx 52.89$ inches.

Find the Length of the Arc on a Circle of Radius