Answer
9 cm$^{2}$
Work Step by Step
If $\theta$ (in radians) is a central angle in a circle with radius $r$, then the area of the sector formed by angle $\theta$ can be calculated as $A=\frac{1}{2}r^{2}\theta$.
We are given that $\theta=2$ and $r=3$ cm.
Therefore, $A=\frac{1}{2}(3^{2})(2)=\frac{1}{2}(9)(2)=\frac{1\times9\times2}{2}=\frac{18}{2}=9$ cm$^{2}$.
