Answer
$9.425 \, m^2$
Work Step by Step
$\because A = \dfrac{1}{2}r^2 \theta$
where
$r$: Radius of the circle
$\theta$: Central angle that subtends the arc (in radians)
$A$: Area of the sector of the circle formed by the central angle $\theta$
Convert $\theta$ from degrees to radians:
$$\theta = 120 \times \dfrac{\pi}{180}= \dfrac{2 \pi}{3} \text{ radians}$$
Use the formula above to obtain:
$A= \dfrac{1}{2}\times (3)^2 \times \dfrac{2 \pi}{3} \approx \boxed{9.425 \, m^2}$
