OFFSET
1,3
COMMENTS
area = 7*Pi/(12*sqrt(3)). - Eric W. Weisstein, Feb 05 2018
LINKS
Eric Weisstein's World of Mathematics, Bean Curve
EXAMPLE
1.058049629...
MATHEMATICA
area = Sqrt[2] NIntegrate[Sqrt[x (1 - x + Sqrt[1 + (2 - 3 x) x])], {x, 0, 1}, WorkingPrecision -> 120]; Take[RealDigits[area][[1]], 105]
RealDigits[7 Pi/(12 Sqrt[3]), 10, 105][[1]] (* Eric W. Weisstein, Feb 05 2018 *)
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 29 2011
STATUS
approved