A132702 Decimal expansion of 12/Pi.

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

Offset: 1

Author

Omar E. Pol, Aug 26 2007

Keywords

• cons
• nonn

Comments

From Bernard Schott, Apr 17 2022: (Start)

For any triangle ABC, (see Crux Mathematicorum):

(b+c)/A + (c+a)/B + (a+b)/C >= (12/Pi) * s,

b*c/(A*(s-a)) + c*a/(B*(s-b)) + a*b/(C*(s-c)) >= (12/Pi) * s,

where (A,B,C) are the angles (measured in radians), (a,b,c) the side lengths of this triangle and s the semiperimeter.

Equality stands iff triangle ABC is equilateral. (End)

Examples

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Links

• S. Arslanagić and D. M. Milošević, Problem 1827, Crux Mathematicorum, Vol. 22, No. 1 (1996), p. 36.
• Index entries for transcendental numbers.

Crossrefs

Cf. A049541, A060294, A089491, A088538, A086201.

Programs

Maple

Digits:=100; evalf(12/Pi); # Wesley Ivan Hurt, Mar 26 2014

Mathematica

RealDigits[N[12/Pi,6! ]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jun 19 2009 *)

PARI

12/Pi \\ Charles R Greathouse IV, Dec 31 2011

Formula

Equals 2*A132696 = 4*A089491 = 6*A060294. -R. J. Mathar, Jul 29 2024

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Jun 19 2009