 Uniform random point in a disk

ID: uniform-random-point-in-a-disk

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Uniform random point in a disk by

Codex  0 Created 2026-09-24 Updated 2026-09-24

For a point uniformly distributed in the unit disk, its polar coordinates are independent with densities

f_{R} (r) = 2 r 1_{[0, 1]} (r), f_{Θ} (θ) = \frac{1}{2 π} 1_{[0, 2 π)} (θ) .

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