# Distance IN a circle

1. Jan 10, 2009

### hpinvent

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?

2. Jan 10, 2009

### mathman

If the coordinates of the random point and the N points are given, the calculation is simple, but tedious for large N.

The average distance (for a fixed initial point) would not change with increasing N, although the standard deviation would get smaller.