Geodesic
Random chords and point distances in regular polygons
Uwe Baesel1 ; Uwe Baesel
1University of Applied Sciences, Faculty of Mechanical and Energy Engineering
Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 1-18 
Uwe Baesel; Uwe Baesel. Random chords and point distances in regular polygons. Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/AMUC_2014_83_1_a0/
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     title = { Random chords and point distances in regular polygons},
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     year = {2014},
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Voir la notice de l'article provenant de la source Comenius University

In this paper we obtain the chord length distribution function for any regular polygon. From this function we conclude the density function and the distribution function of the distance between two uniformly and independently distributed random points in the regular polygon. The method calculating the chord length distribution function is quite dierent from those of Harutyunyan and Ohanyan. It uses only elementary methods and provides the result with only a few natural case distinctions.