Question

What is the area of a sector of a circle with a radius of 6 inches and formed by a central angle that measures 90°?

3in?
6 in?
9 in?
12in?

Answer 1

12in i believe so because i do

Answer 2

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =90\\ r=6 \end{cases}\implies A=\cfrac{(90)(\pi )(6)^2}{360} \\\\\\ A=\cfrac{3240\pi }{360}\implies A=9\pi \implies A\approx 28.2743`