Find the area of the shaded region in the figure Find the area of the shaded region in the figure

What steps should I do? I tried following the steps listed here https://answers.yahoo.com/question/index?qid=20100305030526AAef8nZ
But I got 150.7 which is wrong.

The basic idea is right. First calculate the area of the sector by observing that 
$\dfrac{ \text{area of sector} }{ \text{area of circle} } = \dfrac{\pi / 3}{2 \pi}$. 
Then find the area of the triangle by noting that the triangle is equilateral, and subtract it off. This will give you the white region.
Now subtract the white region from the area of the circle.
