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Decimal expansion of the mean distance between two points picked at random in a half-disk.
2

%I #15 Feb 16 2025 08:33:06

%S 7,0,6,0,5,3,4,0,9,3,8,9,8,5,2,1,1,9,8,1,9,3,6,9,5,6,0,7,0,7,1,3,3,1,

%T 5,2,7,2,3,8,0,6,6,6,3,2,5,7,7,3,4,7,0,6,4,8,6,5,2,2,5,5,9,4,5,3,6,4,

%U 9,2,3,7,8,5,0,0,8,4,3,5,8,9,9,9,6,6,4,8,1,3,5,5,8,8,8,4,4,0,7,8,6,1,3,0,3

%N Decimal expansion of the mean distance between two points picked at random in a half-disk.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CircularSectorLinePicking.html">Circular Sector Line Picking</a>.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals (64*(-23 + 12*Pi))/(135*Pi^2).

%e 0.70605340938985211981936956070713315272380666325773...

%t RealDigits[64*(12*Pi-23)/(135*Pi^2), 10, 100][[1]] (* _Amiram Eldar_, Apr 14 2022 *)

%o (PARI) 64*(12*Pi-23)/135/Pi^2 \\ _Charles R Greathouse IV_, Nov 26 2024

%Y Cf. A093070, A130204.

%K nonn,cons,changed

%O 0,1

%A _Eric W. Weisstein_, May 16 2007