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Does this equation already exist?

  1. Sep 14, 2005 #1
    This is a formula to find the area of a regular polygon with sides of equal length only using the side length.


    Where n is equal to the number of sides and s is the side length.

    Also, knowing radius (r) or apothem (a)



    Has someone found this before?
  2. jcsd
  3. Sep 14, 2005 #2


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    Staff Emeritus
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    Yes, I find it on page 122 of my copy of CRC Standard Math tables. (27th ed)
  4. Sep 14, 2005 #3
    No offense, but that's not really an equation you can "discover." It's just a calculation.
  5. Sep 15, 2005 #4
    In mathematics there is no such thing as discovery.
  6. Sep 15, 2005 #5

    jim mcnamara

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    Staff: Mentor

    Ah.. I see you folks have never read Plato. Or won't admit to it anyway.
  7. Sep 15, 2005 #6
    Yes, there is. Just because a certain theorem happens to be true whether it's been found or not, it doesn't mean that it can't be discovered. "Discover" in this case simply means that you are the first human being to stumble upon it.
  8. Sep 16, 2005 #7
    Ok, then can anyone who's read something about this explain why cot(180/n)=tan(90(n-2)/n)?
  9. Sep 16, 2005 #8
    Just apply Simpson's formulas.
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