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A133742
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Decimal expansion of cap height at which the area of a circular segment equals 1/4 that of the entire circle.
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2
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5, 9, 6, 0, 2, 7, 2, 4, 6, 7, 0, 0, 4, 8, 2, 7, 9, 0, 6, 8, 1, 0, 3, 8, 2, 5, 9, 9, 3, 3, 6, 8, 4, 5, 5, 7, 0, 9, 7, 7, 6, 4, 0, 3, 5, 4, 2, 5, 9, 0, 1, 5, 7, 7, 7, 4, 9, 9, 0, 2, 3, 9, 8, 2, 6, 6, 1, 2, 9, 4, 5, 0, 0, 2, 8, 7, 0, 4, 6, 4, 6, 4, 9, 8, 7, 5, 6, 6, 0, 9, 8, 3, 4, 7, 7, 7, 2, 7, 1, 2, 9, 0, 5, 0, 8
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OFFSET
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0,1
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REFERENCES
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Mutiu F. Erinosho, ET Akinlabi, S Pityana, Effect of scanning speed and powder flow rate on the evolving properties of laser metal deposited Ti-6Al-4V/Cu composites, International Journal of Surface Science and Engineering, Volume 10, Issue 3, 2016; DOI: 10.1504/IJSURFSE.2016.076993 (Mentions this number)
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LINKS
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EXAMPLE
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0.5960272467004827906810382599336845570977640354259015777499...
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MATHEMATICA
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RealDigits[x/.FindRoot[Pi/4 == ArcCos[1 - x] - (1 - x)*Sqrt[x*(2 - x)], {x, 0, 1}, WorkingPrecision -> 200], 10, 100][[1]] (* G. C. Greubel, Nov 16 2018 *)
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PROG
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(PARI) default(realprecision, 100); solve(x=0, 1, acos(1-x) - (1-x)*sqrt(x*(2-x)) - Pi/4) \\ G. C. Greubel, Nov 16 2018
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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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