Step 1
The shaded part is a sector.
Step 2
Angle subtend = 120 degrees
radius r = 6
Step 3
[tex]\begin{gathered} Area\text{ of a sector = }\frac{\theta}{360}\text{ }\times\text{ }\pi r^2 \\ =\text{ }\frac{120}{360}\text{ }\times\text{ }\pi\text{ }\times6^2 \\ =\text{ }\frac{120\text{ }\times\text{ }\pi\text{ }\times\text{ 36}}{360} \\ =\text{ }\frac{4320\pi}{360} \\ =\text{ 12}\pi \end{gathered}[/tex]
