Answer: 8pi - 8sqrt(3) cm^2
Explanation:
The area of the shaded regions would be equal to the area of the semi circle minus the area of the triangle.
The area of the semi circle = the area of the circle/2
= 16pi/2
= 8 pi cm^2
By Thale's theorem, we can conclude triangle ABC is a right triangle with AB being the hypotenuse. It is a 30 60 90 triangle specifically.
Therefore, AC = 4 sqrt(3).
Thus, the area of the triangle = 4*4sqrt(3)/2
= 8 sqrt(3) cm^2
The area of the shaded regions = 8pi - 8sqrt(3) cm^2