[tex]\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta r^2}{2}\quad
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=11\\
\theta =\frac{4\pi }{3}
\end{cases}\implies A=\cfrac{\frac{4\pi }{3}(11)^2}{2}\implies A=\cfrac{\frac{484\pi }{3}}{2}
\\\\\\
A=\cfrac{484\pi }{3}\cdot \cfrac{1}{2}\implies A=\cfrac{242\pi }{3}[/tex]
