exam Maths Puzzle Numerical Ability

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I have worked this problem, but I am not confident that I have it 100% correct, any insight would be appreciated!
You are loaded into a ferris wheel car. The wheel turns at 4 rpm There is a circle that is shaded in, EXCEPT two 40 degree triangles in it cut out like a piece of pie. The radius of the circle is the square root of 3. I need to find the area of