There is a unit square on a plane. A unit circle (r=1) is placed randomly, so that its center is somewhere inside the unit square. Every point inside the unit square has the same probability of being chosen as the center of the unit circle.

What is the probability that the square fits entirely inside the circle?

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## k-man

There is a unit square on a plane. A unit circle (r=1) is placed randomly, so that its center is somewhere inside the unit square. Every point inside the unit square has the same probability of being chosen as the center of the unit circle.

What is the probability that the square fits entirely inside the circle?

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