Question

the radius of circle o is 9 inches and the length of arc ab is 4π inches. what is m∠aob? (not drawn to scale) a 50 b 96 c 80 d 72

Explanation:

Step1: Recall arc - length formula

$l = r\theta$ (where $l$ is arc - length, $r$ is radius, $\theta$ is central angle in radians).

Step2: Substitute values

$4\pi=9\theta$, so $\theta=\frac{4\pi}{9}$ radians.

Step3: Convert radians to degrees

$\theta=\frac{4\pi}{9}\times\frac{180}{\pi}=80^{\circ}$

Answer:

C. 80