Using disk point picking, x | = | sqrt(r)cos θ y | = | sqrt(r)sin θ for r element [0, 1], θ element [0, 2π), choose two points at random in a unit disk and find the distribution of distances s between the two points. Without loss of generality, take the first point as (r, θ) = (r_1, 0) and the second point as (r_2, θ).
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