Question

in the circle shown, O is the center. the radius of the circle is 5 meters. find the area of the shaded sectors. (step by step plz)

Answer 1

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=5\\ \theta =70 \end{cases}\implies A=\cfrac{70\cdot \pi \cdot 5^2}{360}\implies A=\cfrac{1750\pi }{360} \\\\\\ \textit{there are two sectors, thus }2A\implies 2\cdot \cfrac{1750\pi }{360}\implies \cfrac{175\pi }{18}$