This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A179374 #10 Feb 16 2025 08:33:12
%S A179374 1,4,6,3,4,4,6,4,8,1,4,6,9,5,8,4,2,8,3,6,4,7,3,2,1,1,5,0,0,8,0,2,2,4,
%T A179374 4,5,1,3,1,6,6,9,0,9,6,2,6,5,2,6,3,4,5,0,0,0,9,5,8,8,5,7,6,5,9,1,4,8,
%U A179374 8,5,7,3,7,8,8,1,1,9,1,9,2,4,8,4,4,2,4,5,1,5,8,9,5,3,3,0,9,2,6,4,3,4,9,5,7
%N A179374 Decimal expansion of the central angle in degrees corresponding to a circular segment with area r^2 of a circle with radius r.
%C A179374 The arc length of the circular segment/sector is r*A179373. The area of the circular segment, r^2, is 1/Pi (A049541) times the area of the circle. The area of the sector is (r^2)*(A179373/2) = (r^2)*(1 + A179378). See references and cross-references for other relationships.
%D A179374 S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, p. 7.
%H A179374 G. C. Greubel, <a href="/A179374/b179374.txt">Table of n, a(n) for n = 3..10002</a>
%H A179374 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CircularSegment.html">Circular Segment</a>.
%F A179374 Equals A179373*180/Pi = A179373*A072097.
%e A179374 146.3446481469584283647321150080224451316690962652634500095885765914885737881...
%t A179374 RealDigits[(180/Pi)*(x /.FindRoot[x-Sin[x]-2, {x, 2}, WorkingPrecision -> 200]), 10, 100][[1]] (* _G. C. Greubel_, Nov 16 2018 *)
%o A179374 (PARI) (solve(x=0, Pi, x-sin(x)-2))*180/Pi
%Y A179374 Cf. A179373 (same, in radians), A179375 (for chord length), A179376 (for "cap height", height of segment), A179377 (for triangle height), A179378 (for triangle area), A049541.
%K A179374 cons,nonn
%O A179374 3,2
%A A179374 _Rick L. Shepherd_, Jul 11 2010