Question

A circle has a radius of 9 ft. Find the length of s of the arc intercepted by a central angle of 97 degrees. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer 1

`\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle\ in\\ \qquad degrees\\ ------\\ r=9\\ \theta = 97 \end{cases}\implies s=\cfrac{97\cdot \pi \cdot 9}{180}`