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A200257
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Decimal expansion of the circumradius R of cyclic pentagon with sides 2, 3, 5, 7, and 11.
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3
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5, 5, 0, 6, 2, 9, 9, 6, 3, 8, 6, 6, 8, 1, 3, 1, 8, 1, 9, 8, 8, 4, 3, 9, 5, 0, 6, 3, 3, 1, 3, 1, 8, 8, 1, 6, 6, 3, 2, 5, 3, 5, 3, 9, 0, 5, 5, 1, 8, 2, 7, 9, 2, 0, 0, 0, 3, 9, 6, 8, 0, 3, 8, 8, 6, 5, 0, 1, 1, 9, 7, 7, 6, 2, 9, 3, 6, 2, 9, 1, 1, 1, 8, 8, 9
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OFFSET
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1,1
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COMMENTS
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Note that for cyclic polygon R does not depend on order of sides.
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LINKS
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EXAMPLE
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R = 5.5062996386681...
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MATHEMATICA
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nn=5; L=Sum[Prime[n], {n, nn}]; RealDigits[Re[FindRoot[Sum[ArcSin[Prime[n]/2/R], {n, nn}] == Pi, {R, L/2/Pi}][[1, 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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