Answer:
[tex]144\pi[/tex]
Step-by-step explanation:
Area of a sector is
[tex] \frac{x}{360} \pi {r}^{2} [/tex]
Where x is the angle and r is the radius.
ML is the radius of the circle, and its length is 18 units so the length of the radius is 18.
The central angle is 160 degrees So we have
[tex] \frac{160}{360} \pi(18) {}^{2} [/tex]
[tex] \frac{160}{360} \times (324)\pi[/tex]
[tex] \frac{4}{9} \times 324\pi[/tex]
[tex]144\pi[/tex]
So the area of the sector is is 144 pi.
