Answer
$4 \pi \ m$
Work Step by Step
In order to get the arc length $l$, we need to multiply the circumference $C$ by $\dfrac{120^{\circ}}{360^{\circ}}$.
$C=2\pi r= (2 \pi)(3)=6 \pi \ m$
Further, we have: $l=\dfrac{120^{\circ}}{360^{\circ}} \times 6 \pi=2 \pi \ m$
Next, the area of a circle can be found as: $l=\dfrac{240}{360} \times 6 \pi=4 \pi \ m$
