Question

a=140° r=16 ft calculate the arc length s and area a for each of the sectors

Answer 1

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=16\\ \theta =140 \end{cases}\implies s=\cfrac{(140)\pi (16)}{180} \\\\\\ \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=16\\ \theta =140 \end{cases}\implies A=\cfrac{(140)\pi (16)^2}{360}$