Answer:
area of sector = 40.192 unit²
Explanation:
Area of a sector = ∅/360 × πr²
where
∅ = angle in degree
r = radius
Area of sector when ∅ = radian
area of a sector = 1/2r²∅
where
∅ = radian
r = radius
area of sector = 1/2 × 4² × 8/5 × π
area of sector = 1/2 × 16 × 8/5 × π
area of sector = 128/10 × π
area of sector = 12.8 × π
area of sector = 12.8 × 3.14
area of sector = 40.192 unit²