OFFSET
0,1
COMMENTS
Average area of a triangle picked at random from points on the circumference of a unit circle.
The value of a princess-and-monster game on the unit circle, see Zelikin 1972. - Charles R Greathouse IV, Mar 24 2014
LINKS
Franklin Pierce Matz, Problem 30, The American Mathematical Monthly, Vol. 2, No. 6 (1895), p. 201; Solution, by the proposer, ibid., Vol. 3, No. 6/7 (1896), pp. 190-191.
Eric Weisstein's World of Mathematics, Circle Triangle Picking.
Mikhail Il'ich Zelikin, A certain differential game with incomplete information (in Russian), Dokl. Akad. Nauk SSSR 202 (1972), pp. 998-1000.
FORMULA
Equals 1/A019693. - Amiram Eldar, Apr 04 2026
EXAMPLE
0.47746482927568600730665129011754308610337893722136...
MATHEMATICA
RealDigits[3/(2 Pi), 10, 120][[1]] (* Harvey P. Dale, Jun 10 2022 *)
PROG
(PARI) 1.5/Pi \\ Charles R Greathouse IV, Mar 24 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Apr 01 2004
STATUS
approved
