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arXiv · 1911.05576

Angle distribution of two random chords in the disc: A sine law

Jesus Igor Heberto Barahona Torres·Paulo Cesar Manrique-Mirón·Erick Treviño-Aguilar
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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.

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Jesus Igor Heberto Barahona Torres, Paulo Cesar Manrique-Mirón, Erick Treviño-Aguilar. 2019-11-13. Angle distribution of two random chords in the disc: A sine law. https://arxiv.org/abs/1911.05576

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