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There is a set of segments. and I want to calculate the area of the largest polygon which can be build using these segments.

I try to search it, but I can't find anything.

thanks

Babak
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    There is an incomplete answer at http://mathforum.org/library/drmath/view/51828.html which may be worth a look. – Gerry Myerson Aug 23 '13 at 13:54
  • @GerryMyerson aside from the claim the maximal polygon is cyclic, the answer in the link you posted in pretty complete! – achille hui Aug 23 '13 at 14:29
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    thanks. in these links, we know order of segments but I don't know how to order these segments. – Babak Aug 23 '13 at 20:58
  • Voting to reopen. I may be wrong, but I think OP has a point, that in the links, we're given an ordered list of lengths, but in this question, just a set of lengths. Which ordering gives the biggest area? Is it obvious? – Gerry Myerson Aug 24 '13 at 00:48
  • yes, it's obvious. – Babak Aug 24 '13 at 10:54
  • Wait a minute --- it's obvious which ordering of the lengths gives the biggest area? Can you tell us which ordering it is? – Gerry Myerson Aug 25 '13 at 01:02
  • no. I mean this is my problem. and you explain it obvious – Babak Aug 27 '13 at 19:07

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