Question

Find the area of the smaller sector. Round to the nearest tenth.

Answer 1

`\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=10.7\\ \theta = 77 \end{cases}\implies A=\cfrac{(77)\pi (10.7)^2}{360}\implies A\approx 76.9~in^2`