This discussion addresses the calculation of distances from a random point within a circle to N uniformly distributed points inside the same circle. It concludes that while the average distance remains constant regardless of N, the standard deviation decreases as N increases. The conversation emphasizes the importance of understanding geometric properties and statistical implications when dealing with such calculations.
PREREQUISITESMathematicians, data scientists, and software developers interested in computational geometry and statistical analysis of distances in spatial distributions.
If the coordinates of the random point and the N points are given, the calculation is simple, but tedious for large N.hpinvent said:How can I calculate the distance from a random point IN a circle to N points uniformly distributed within the circle? Would the average distance decrease with N?