Mathematics, 08.01.2020 02:31 pennyluvsu13
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?
Answers: 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](/tpl/images/0446/3221/8c7ec.png)
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