Answer:
C
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{255}{360}[/tex]
= π × 4² × [tex]\frac{17}{24}[/tex]
= 16π × [tex]\frac{17}{24}[/tex]
= [tex]\frac{16\pi (17)}{24}[/tex]
= [tex]\frac{272\pi }{24}[/tex]
= [tex]\frac{34\pi }{3}[/tex] mi² → C
