Question

Find the radian measure of the central angle of a circle of radius 6 yards that intercepts an arc of length 8 yards.

Answer 1

`\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ s=8 \end{cases}\implies 8=6\theta \implies \cfrac{8}{6}=\theta \implies \stackrel{rad}{\cfrac{4}{3}}=\theta`