[tex]\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=96\pi
\end{cases}\implies 96\pi =\pi r^2
\\\\\\
\cfrac{96\underline{\pi }}{\underline{\pi }}=r^2\implies 96=r^2\implies \boxed{\sqrt{96}=r}\\\\
-------------------------------[/tex]
[tex]\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}~~
\begin{cases}
r=radius\\
\theta = angle~in\\
\qquad degrees\\
------\\
\theta =30\\
r=\boxed{\sqrt{96}}
\end{cases}\implies A=\cfrac{(30)(\pi )(\sqrt{96})^2}{360}
\\\\\\
A=\cfrac{(30)(\pi )(96)}{360}\implies A=8\pi[/tex]
