What is the area of the shaded region in the given circle in terms of pi and in simplest form?

possible answers:

a) (120π + 6√3) m^2
b) (96π + 36√3) m^2
c) (120π + 36√3) m^2
d) (96π + 6√3) m^2

include your work and i will give brainliest : )

photo:

In order to determine the area of the shaded region, we need to determine the area of the circle, the sector and the triangle that is a part of the sector. We calculate as follows:

Area of the circle = πr^2 = π(12)² = 144π

Area of the sector = 144π ( 60/360) = 24π

Area of the triangle = 1/2 bh = 1/2 (12cos30)(12) = 36√3

Area of the shaded region = 144π - 24π + 36√3 = 120π + 36√3

Dis the correct answer