Question

What is the arc length of a circle that has an 8-inch radius and a central angle that is 95 degrees?

Answer 1

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radius\\ ------\\ r=8\\ \theta =95 \end{cases}\implies s=\cfrac{(95)(\pi )(8)}{180}\implies s=\cfrac{38\pi }{9}$