To answer this question, we will use the following formula for the area of a sector:
[tex]A=\frac{\alpha}{360^{\circ}}r^2\pi,[/tex]
where r is the radius and α is the central angle.
Substituting α=120°, and r=8 in, we get:
[tex]A=\frac{120^{\circ}}{360^{\circ}}\times64in^2\pi.[/tex]
Simplifying the above result, we get:
[tex]A=\frac{1}{3}\times64\pi in^2.[/tex]
Answer: Option D.
