Answer: Choice C. 34pi/3
Work Shown:
x = central angle = 255 degrees
r = radius = 4
A = area of sector
A = (x/360)*pi*r^2 ... see note below
A = (255/360)*pi*4^2
A = 34pi/3
note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2