Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-$\mathrm { r } = 10$ centimeters, $\theta = 70 ^ { \circ }$
A) $12.22$ centimeters
B) $13.44$ centimeters
C) 11 centimeters
D) $9.78$ centimeters

Question

Quizplus · Accepted Answer

The length of an arc ($l$) on a circle can be calculated using the formula $l = r\theta$ where $r$ is the radius and $\theta$ is the central angle in radians. First, convert $\theta$ from degrees to radians: $70^\circ = \frac{70\pi}{180} = \frac{7\pi}{18}$ radians. Then, $l = 10 \times \frac{7\pi}{18} \approx 12.22$ centimeters.

Find the Length of the Arc on a Circle of Radius