Answer:
A = (4π/3 -√3) m^2
Explanation:
The area of a sector with a given radius and arc measure is given by ...
A = (1/2)r^2(θ -sin(θ))
Filling in the given values, the area is ...
A = (1/2)(2 m)^2(2π/3 -sin(2π/3)) = 2(2π/3 -√3/2) m^2
A = (4π/3 -√3) m^2 . . . . . matches choice A