Question

circle s has a radius of 9 feet, and m∠rst is $\frac{2pi}{3}$ radians. what is the area of the shaded sector in square feet? 6π 12π 24π 27π

Explanation:

Step1: Recall sector - area formula

$A=\frac{1}{2}r^{2}\theta$, where $r$ is radius and $\theta$ is central - angle in radians.

Step2: Substitute values

$r = 9$ and $\theta=\frac{2\pi}{3}$, so $A=\frac{1}{2}\times9^{2}\times\frac{2\pi}{3}$.

Step3: Calculate

$A=\frac{1}{2}\times81\times\frac{2\pi}{3}=27\pi$.

Answer:

$27\pi$