Given,
The area of the circle is,
[tex]32\pi[/tex][tex]\begin{gathered} \pi r^2=32\pi \\ r^2=32 \\ r=5.65 \end{gathered}[/tex]
The area of the circle sector is,
[tex]\begin{gathered} S=\frac{r^2\theta}{2} \\ \text{ = }\frac{(5.65)^2\times(135)}{2} \\ \text{ = 37}.61 \end{gathered}[/tex]
The area of the circle sector is 37.6 sq ft
