Angle distribution of two random chords in the disc: A sine law
Probability
2019-12-17 v2
Abstract
Motivated by models in engineering and also biology we determine in closed form the probability density function of the angle shaped by two random chords in a fixed disc. Our main result focus on the event in which the intersection locates inside the fixed disc and establishes a sine law.
Cite
@article{arxiv.1911.05576,
title = {Angle distribution of two random chords in the disc: A sine law},
author = {Jesus Igor Heberto Barahona Torres and Paulo Cesar Manrique-Mirón and Erick Treviño-Aguilar},
journal= {arXiv preprint arXiv:1911.05576},
year = {2019}
}