The diagram given is a sector, and from the diagram
Radius(r) = 9 in
[tex]\theta=120^{\cdot}[/tex][tex]\begin{gathered} \text{Area of a sector = }\frac{\theta}{360}\times\pi r^2 \\ \\ \text{Area of a sector = }\frac{120}{360}\times\frac{22}{7}\times9^2 \\ \text{Area of a sector =}\frac{19440}{2520}=7.71in^2 \end{gathered}[/tex]