Given data:
The given radius is r=6 .
The given angle is θ= 120 degrees.
The expression for the area of the shaded region is,
[tex]A=\frac{\theta}{360^{\circ}}\pi(r)^2[/tex]
Substitute the given values in the above expression.
[tex]\begin{gathered} A=\frac{120^{\circ}}{360^{\circ}}\pi(6)^2 \\ =12\pi \\ =37.68 \end{gathered}[/tex]
Thus, the area of the shaded region
