Average Distance in a Square
Two points are chosen independently and uniformly at random in the unit square [0, 1] × [0, 1]. What is the expected Euclidean distance between them? Give the answer rounded to 4 decimal places.
Related problems & prerequisites
Worth solving first
- Cutting Off a Segment 6.0/10
- A Tilted Cap 6.0/10
- Two Points on a Globe 6.0/10
Source: Classic square line picking problem; the closed form is standard in geometric probability. Statement written for AxiomIQ.