SOLUTION
Write out the given parameters
[tex]\begin{gathered} \text{radius, r=9ft} \\ \theta=270^0 \end{gathered}[/tex]
The area of a sector is given by the formua
[tex]\text{Area of sector=}\frac{\theta}{360}\times\pi r^2[/tex]
then substiute the parameters, we have
[tex]\begin{gathered} \text{Area of sector=} \\ \frac{270^0}{360}\times3.14\times9^2 \\ \text{Then} \\ \frac{3}{4}\times3.14\times81 \end{gathered}[/tex]
Simplify the expression above, we have
[tex]\frac{3}{4}\times3.14\times81=190.755ft^2[/tex]
Therefore
The Area of the sector is 190.76 ft²
