ANSWER
[tex] 12\pi[/tex]
EXPLANATION
The area of sector is calculated using
[tex] \frac{angle\:of \: sector }{360 \degree} \times \pi \: {r}^{2} [/tex]
The angle of the sector is 120° and the radius of the circle is 6 units.
We substitute the given values into the formula to obtain:
[tex] \frac{120 \degree}{360} \times \pi \times {6}^{2} [/tex]
[tex] = \frac{120 \degree}{360} \times \pi \times 36[/tex]
[tex]= \frac{120 \degree}{10} \times \pi = 12\pi[/tex]
Hence the area of the sector is [tex] 12\pi[/tex]
