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A179373
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Decimal expansion of the central angle in radians corresponding to a circular segment with area r^2 of a circle with radius r.
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6
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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, 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, 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
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OFFSET
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1,1
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COMMENTS
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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.
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REFERENCES
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S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, p. 7.
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LINKS
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FORMULA
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Decimal expansion of the solution of sin(x) = x - 2.
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EXAMPLE
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2.5541959528370430378296661737918779361157491714110524381405663643020...
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MATHEMATICA
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RealDigits[ x /. FindRoot[x - Sin[x] - 2, {x, 2}, WorkingPrecision -> 105]][[1]] (* Jean-François Alcover, Oct 30 2012 *)
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PROG
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(PARI) solve(x=0, Pi, x-sin(x)-2)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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