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.
Zak Seidov, Figure showing polygon
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
KEYWORD
nonn,cons
AUTHOR
Zak Seidov, Nov 15 2011
STATUS
approved