If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.
-$\mathrm { r } = 8.8 \text { inches, } \theta = 60 ^ { \circ } , \mathrm { s } =$ ?
A) 9.5 in.
B) 9.2 in.
C) 9.3 in.
D) 9.4 in.

Question

Quizplus · Accepted Answer

The length of the arc $s$ can be found using the formula $s = r\theta$, where $\theta$ is in radians. First, convert $\theta$ from degrees to radians: $\theta = 60^\circ = \frac{60\pi}{180} = \frac{\pi}{3}$ radians. Then, $s = 8.8 \times \frac{\pi}{3} \approx 9.2$ inches.

If S Denotes the Length of the Arc of a Circle