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I don't have so knowledge about mathematics. Thus, this question may be so stupid. If so I will delete question.

I'm curious about is there a way to find longest diagonal length of a regular polygon without using any theorem and calculation related to circle?

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    $\begingroup$ Just check what happens with square, pentagon, hexagon, etc and try to find a patter for odd and pair number of sides. $\endgroup$
    – user681693
    Jul 25, 2019 at 13:59
  • $\begingroup$ I use pythagorean relation till decagon for pair number of side but I should use sin and cos. This calculation I think related to circle. $\endgroup$ Jul 25, 2019 at 14:07
  • $\begingroup$ Have you found the answer some other way that uses theorems and calculations related to the circle? I can't immediately see a way to do it without using something like Law of Sines. $\endgroup$
    – John
    Jul 25, 2019 at 14:12
  • $\begingroup$ quora.com/… $\endgroup$
    – Jean Marie
    Jul 25, 2019 at 15:16

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