Find the area of the shades segments in the figure

A.
(sqrt{3} 
B.
4 (pi – sqrt{3}) 
C.
(frac{2}{3} pi) 
D.
(frac{2pi}{3}) 3
Correct Answer: Option D
Explanation
Area of section = (frac{60^o}{360^o}) x 11r^{2}
= (frac{60}{360} times pi times 2^2)
= (frac{1}{6}) x 4
= (frac{4pi}{6})
= (frac{2pi}{3})
Area of triangle = (frac{1}{2x})
= 2 x 28…….60
Segment Area = Area of section – Area of triangle
= (frac{2pi}{3}) 3