Question

Find the area of the shaded sector in terms of Pi

Answer 1

`\begin{gathered} \text{The angle of the area is 90\degree, that means that it represents 90/360=1/4 of the circle!} \\ A=(1)/(4)A_(circle)_{} \\ \\ A=(1)/(4)(\pi r^2) \\ \\ A=(1)/(4)\pi(12)^2 \\ \\ A=(1)/(4)144\pi \\ \\ A=36\pi \\ \\ \text{ The area is 36}\pi \end{gathered}`