login
A200257
Decimal expansion of the circumradius R of cyclic pentagon with sides 2, 3, 5, 7, and 11.
3
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
OFFSET
1,1
COMMENTS
Note that for cyclic polygon R does not depend on order of sides.
LINKS
Ralph H. Buchholz and James A. MacDougall, Cyclic polygons with rational Sides and Area, Journal of Number Theory, Volume 128, Issue 1, January 2008, Pages 17-48.
EXAMPLE
R = 5.5062996386681...
MATHEMATICA
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]]]]
CROSSREFS
Sequence in context: A299625 A021649 A357715 * A236023 A373017 A200516
KEYWORD
nonn,cons
AUTHOR
Zak Seidov, Nov 15 2011
STATUS
approved