Question

Find the area the sector.

Answer 1

Answer:

34π/3 (= 11.3 π )   mi²

Step-by-step explanation:

(see attached for reference)

area of sector is given by:

A = (θ/360) π r²

where

θ = angle of sector (given as 255°)

r = radius (given as 4 miles)

substituting the known values into the formula:

A = (θ/360) π r²

A = (255/360) π (4)²

A = (255/360) π (16)

A = 34π/3 mi²

A = 11.3 π    mi²

edit: expressed answer in improper fraction form to match answer choices.