Question

in a circle with radius of 5, an angle measuring 7 pie over 6 radians intercepts an arc. fing length of arc in simpliest form

Answer 1

`\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=5\\ \theta =(7\pi )/(6) \end{cases}\implies s=5\left( \cfrac{7\pi }{6} \right)\implies s=\cfrac{35\pi }{6}\implies s\approx 18.33`