Average Distance in a Disk
Two points are chosen independently and uniformly at random inside a disk of radius 1. What is the expected distance between them? Give an exact closed form, or a decimal rounded to 4 places.
Related problems & prerequisites
Worth solving first
- The Midpoint Chord 6.0/10
- Nearest Wall of a Triangle 6.0/10
- Coin on the Tiles 6.0/10
Source: Classic geometric-probability exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.