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 A179375 #15 Feb 16 2025 08:33:12 %S A179375 1,9,1,4,3,5,9,5,4,6,1,5,9,5,2,9,9,3,9,9,8,5,7,8,5,2,4,2,4,6,0,5,2,7, %T A179375 8,9,9,5,0,1,3,0,1,1,8,0,7,9,1,1,1,5,6,7,7,1,9,2,4,5,3,1,6,8,8,5,9,6, %U A179375 2,7,6,4,4,2,6,4,0,5,0,2,1,5,8,7,1,0,3,1,6,9,9,7,7,2,9,2,1,7,9,0,0,4,6,6,0 %N A179375 Decimal expansion of the ratio of the chord length of a circular segment with area r^2 of a circle with radius r to r itself. %C A179375 In other words, the chord length is A179375*r. 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 A179375 S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, p. 7. %H A179375 G. C. Greubel, <a href="/A179375/b179375.txt">Table of n, a(n) for n = 1..10000</a> %H A179375 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CircularSegment.html">Circular Segment</a>. %H A179375 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %F A179375 Equals 2*sin(A179373/2). %e A179375 1.914359546159529939985785242460527899501301180791115677192453168859627644264... %t A179375 RealDigits[ 2*Sin[x/2] /. FindRoot[x - Sin[x] - 2, {x, 2}, WorkingPrecision -> 106]][[1]] (* _Jean-François Alcover_, Oct 30 2012 *) %o A179375 (PARI) 2*sin(solve(x=0, Pi, x-sin(x)-2)/2) %Y A179375 Cf. A179373 (central angle, radians), A179374 (central angle, degrees), A179376 (for "cap height", height of segment), A179377 (for triangle height), A179378 (for triangle area), A049541. %K A179375 cons,nonn %O A179375 1,2 %A A179375 _Rick L. Shepherd_, Jul 11 2010