an arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. what is the…

Explanation:

Step1: Recall arc - length formula

The formula for the length of an arc $s$ of a circle is $s = r\theta$, where $r$ is the radius of the circle and $\theta$ is the central - angle in radians. We are given that $s = 8$ in and $r = 3$ in. We need to solve for $\theta$. From $s=r\theta$, we can express $\theta$ as $\theta=\frac{s}{r}$.

Step2: Substitute the given values

Substitute $s = 8$ and $r = 3$ into the formula $\theta=\frac{s}{r}$. $\theta=\frac{8}{3}\approx2.7$ radians.

Answer:

C. 2.7 radians