## Trigonometry 7th Edition

6 cm$^{2}$
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 $\theta=3$ and $r=2$ cm. Therefore, $A=\frac{1}{2}(2^{2})(3)=\frac{1}{2}(4)(3)=\frac{1\times4\times3}{2}=\frac{12}{2}=6$ cm$^{2}$.