Question

find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie

Answer 1

well, let's notice, hmmm a circle has 360°, and that one above is shaded but 90°, so that means the shaded area is really 270° of the circle whose radius is 6.

`\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=6\\ \theta =270 \end{cases}\implies A=\cfrac{(270)\pi (6)^2}{360}\implies A=27\pi`