Question

Find the area of the shaded sector of the circle.

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=2\\ \theta =270 \end{cases}\implies A=\cfrac{(270)\pi (2)^2}{360}\implies A=3\pi`