Verified Answer :

Given:
Radius = 12 m

Area of a circle = π r²  
A = 3.14 (12m)²
A = 3.14
144 m²
A = 452.16 m²

360°/60° = 6

452.16 m² 5/6 = 376.80 m² Area of the remaining circle.

Area of the equilateral triangle = (√3/4) a² 
radius of the circle is the side length of the triangle.
A =  (√3/4) (12m)²
A = 0.433
144m²
A = 62.352 m²

Area of the shaded region = 376.80m² + 62.352m²

Area of the shaded region = 439.152 m²