# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a179373 Showing 1-1 of 1 %I A179373 #12 Feb 24 2023 05:31:18 %S A179373 2,5,5,4,1,9,5,9,5,2,8,3,7,0,4,3,0,3,7,8,2,9,6,6,6,1,7,3,7,9,1,8,7,7, %T A179373 9,3,6,1,1,5,7,4,9,1,7,1,4,1,1,0,5,2,4,3,8,1,4,0,5,6,6,3,6,4,3,0,2,0, %U A179373 2,2,6,2,6,8,9,3,2,3,6,4,5,9,5,8,8,5,0,0,5,6,5,7,0,2,1,1,4,5,0,7,0,4,5,4,4 %N A179373 Decimal expansion of the central angle in radians corresponding to a circular segment with area r^2 of a circle with radius r. %C A179373 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 A179373 S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, p. 7. %H A179373 G. C. Greubel, Table of n, a(n) for n = 1..10000 %H A179373 Eric Weisstein's World of Mathematics, Circular Segment. %F A179373 Decimal expansion of the solution of sin(x) = x - 2. %e A179373 2.5541959528370430378296661737918779361157491714110524381405663643020... %t A179373 RealDigits[ x /. FindRoot[x - Sin[x] - 2, {x, 2}, WorkingPrecision -> 105]][[1]] (* _Jean-François Alcover_, Oct 30 2012 *) %o A179373 (PARI) solve(x=0, Pi, x-sin(x)-2) %Y A179373 Cf. A179374 (same, in degrees), A179375 (for chord length), A179376 (for "cap height", height of segment), A179377 (for triangle height), A179378 (for triangle area), A049541. %K A179373 cons,nonn %O A179373 1,1 %A A179373 _Rick L. Shepherd_, Jul 11 2010 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE