Observed Distribution of Random Chord Lengths in a Circle

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There are several possible definitions of what is meant by a random chord in a unit circle. Here, two angles are chosen at random in , and the two corresponding points on the circumference are joined by a line, that is, a chord. Using this method, a sample of 1000 such chords is obtained and, for a given value of , the frequency of chord lengths less than or equal to is computed, giving an approximation to the probability distribution function of chord length.

Contributed by: Tomas Garza (October 2019)
After work by: Ed Pegg Jr
Open content licensed under CC BY-NC-SA



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