Question

A circle has a radius of

19in
. Find the radian measure of the central angle
θ
that intercepts an arc of length
16in
.
Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer 1

`\bf s=r\theta\qquad \begin{cases} s=\textit{arc's length}\\ r=radius\\ \theta=\textit{central angle in radians}\\ \qquad \textit{made/subtended by the angle }\theta \end{cases}\implies \cfrac{s}{r}=\theta`

you're given both, plug them in