How can I find an average distance between two points lying inside a circular disk of a certain radius?
I wonder if there is any other way except of using a Monte Carlo method?
averagecirclesgeometry
How can I find an average distance between two points lying inside a circular disk of a certain radius?
I wonder if there is any other way except of using a Monte Carlo method?
Best Answer
See the answer to this question. The expected distance is $$ d= {128 r\over 45\pi}. $$
Here is another demonstration of this result.