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A231982 Decimal expansion of one deg^2 expressed in steradians (sr). 7

%I #15 Aug 21 2023 12:48:50

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

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

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

%N Decimal expansion of one deg^2 expressed in steradians (sr).

%C This is the conversion ratio between two solid-angle measures: degree-square's and steradians, applicable to integration infinitesimals. A deg^2 must not be confused with a finite spherical square having one degree side (see A231983, A231984, A231985), just as one steradian must not be confused with the solid angle covered by a spherical square with a side arc-length of one radian (see A231986, A231987).

%D G. V. Brummelen, Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry, Princeton University Press, 2012, ISBN 978-0691148922.

%H Stanislav Sykora, <a href="/A231982/b231982.txt">Table of n, a(n) for n = 3..1998</a>

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

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

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

%F (Pi/180)^2.

%e 0.00030461741978670859934674354937889355355906479651977748846954782...

%t RealDigits[(Pi/180)^2,10,120][[1]] (* _Harvey P. Dale_, Feb 20 2015 *)

%Y Cf. A000796 (Pi), A072097 (rad/deg), A019685 (deg/rad), A231981 (inverse, sr/deg^2), A231983 (square with 1 deg side, in sr), A231984 (square with 1 deg side, in deg^2), A231985, A231986 (square with 1 rad side, in sr), A231987.

%K nonn,cons,easy

%O -3,1

%A _Stanislav Sykora_, Nov 16 2013

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Last modified April 25 10:34 EDT 2024. Contains 371967 sequences. (Running on oeis4.)