OFFSET
0,2
COMMENTS
The corresponding 2D probability, that a circle that is passing through 3 points uniformly and independently chosen at random in a 2D disk is completely lying inside the disk, is 2/5.
For the general solution in any number of dimensions see the solution of the user "joriki" in the Mathematics Stackexchange link.
LINKS
Thomas Browning, Probability of random sphere lying inside the unit ball, Mathematics Stackexchange, 2020.
FORMULA
Equals 24*Pi^2/1925.
EXAMPLE
0.12304961331228291265040404363481954662209287572663...
MATHEMATICA
RealDigits[24*Pi^2/1925, 10, 120][[1]]
PROG
(PARI) 24*Pi^2/1925
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jun 30 2023
STATUS
approved