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<a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
(PARI) 2*Pi/21 \\ Charles R Greathouse IV, Oct 01 2022
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Pi/105 = 0.1 * 2*Pi/21 is the mean area of the triangles that can be formed by breaking a unit-length stick in 3 parts, by uniformly and independently choosing 2 points on it (taking only those cases in which the 3 parts can form a triangle) (Mathai, 1999). - Amiram Eldar, Jul 28 2020
A. M. Mathai, An Introduction to Geometrical Probability: Distributional Aspects with Applications, CRC Press, 1999. See example 2.5.3, pp. 269-270.
0.299199300341885070329775560312333608018778038035724...
RealDigits[2*Pi/21, 10, 100][[1]] (* Amiram Eldar, Jul 28 2020 *)
Cf. A000796.
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Equals twice A019688.
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