Answer
19.2 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 $\theta=2.4$ and $r=4$ in.
Therefore, $A=\frac{1}{2}(4^{2})(2.4)=\frac{1}{2}(16)(2.4)=\frac{1\times16\times2.4}{2}=\frac{38.4}{2}=19.2$ in$^{2}$.
