Question

8.
Find the arc length of a central angle of 7pi/3 in a circle whose radius is
3inches

Answer 1

`\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =(7\pi )/(3)\\ r=3 \end{cases}\implies s=(3)((7\pi )/(3))\implies s=7\pi \implies s\approx 21.99~in`