# Random Chord Division

Calculus Level 5

A chord is formed by connecting two points that are randomly and uniformly chosen along the circumference of a unit circle, dividing the circle into two regions.

The expected value of the area of the larger region is $A\pi + \dfrac{B}{\pi},$ where $$A$$ and $$B$$ are rational numbers. What is $$A+B?$$

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