Answer
3.6 in$^{2}$
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 $\theta=1.8$ and $r=2$ in.
Therefore, $A=\frac{1}{2}(2^{2})(1.8)=\frac{1}{2}(4)(1.8)=\frac{1\times4\times1.8}{2}=\frac{7.2}{2}=3.6$ in$^{2}$.