Given data:
The given radius is PQ=r=2.8 in.
The expression for the area of the shaded region is,
[tex]\begin{gathered} A=\frac{(360^{\circ}-311^{\circ})}{360^{\circ}}\pi(r)^2 \\ =\frac{(360^{\circ}-311^{\circ})}{360^{\circ}}\pi(2.8)^2 \\ =3.35in^2 \end{gathered}[/tex]
Thus, the area of the shaded region is 3.35 sq-inches.
