Sample a uniformly random point from spawnCentre

[laurelkeys]

The straightforward approach of using Random.Range(radius, 2*radius) to sample from the annulus around the spawnCentre unfortunately results in a distribution biased towards the smaller radius.

By using Mathf.Sqrt(Random.Range(radius*radius, 4*radius*radius)) we can generate points uniformly inside the annulus.

These two animations give a good illustration of the difference between the techniques: Annulus Sampling I (the "naive" approach) and Annulus Sampling II (the proposed change).