Let C be a unit circle centered at origin. Point P1 is chosen randomly from the circumference of C. Point P2 is chosen randomly anywhere within the circle. Imagine a rectangle with the line segment P1 – P2 as its diagonal and sides parallel to x and y axes. What is the probability that no point of the rectangle lies outside the circle C? Assumption: Points P1 and P2 are chosen independently and uniformly over their respective domains.

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