Question

A circle has a radius of 16 inches. to the nearest inch, what is the the length of an arc of the circle that is intercepted by a central angle of 80 degrees

Answer 1

`\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=16\\ \theta =80 \end{cases}\implies s=\cfrac{(80)\pi (16)}{180}\implies s=\cfrac{64\pi }{9} \\\\\\ s\approx 22.34\implies \stackrel{\textit{rounded up}}{s=22}`