explanation
We are to find the area of the shaded sector
To do s,w e will have to use the formula:
[tex]\frac{\theta}{360}\times\pi r^2[/tex]
in our case, the central angle is a major angle
[tex]\begin{gathered} \theta=360-90=270 \\ r=18ft \end{gathered}[/tex]
Thus, we will have
[tex]\frac{270}{360}\times\pi\times18^2=243\times\pi=243\pi[/tex]
Thus, the answer is
[tex]243\pi[/tex]
