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A243597 Decimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 1 radian. 2

%I #12 Oct 10 2019 10:20:32

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

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

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

%N Decimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 1 radian.

%C Given a right circular cone with polar angle theta, the fraction of the full solid angle it subtends is (1-cos(theta))/2.

%H Stanislav Sykora, <a href="/A243597/b243597.txt">Table of n, a(n) for n = 0..2000</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Solid_angle">Solid angle</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Cone">Cone</a>

%F (1-cos(1))/2 = a243596/(4*Pi).

%e 0.22984884706593014129953169627851169813384478969103888616...

%t RealDigits[(1-Cos[1])/2,10,120][[1]] (* _Harvey P. Dale_, Apr 14 2019 *)

%o (PARI) (1-cos(1))/2

%Y Cf. A243596 (solid angle).

%K nonn,cons,easy

%O 0,1

%A _Stanislav Sykora_, Jun 07 2014

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