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Radians

Discussion in 'Mathematics' started by stevencarrwork, Mar 6, 2012.

  1. Have you noticed that when you turn by a quarter of a circle, you turn by half a pi?

    Or the one that gets my students the most, a 3-quarter turn is 3pi/2

    This is because we have all been using the wrong value of pi, which is actually about 710/113

    http://www.math.utah.edu/~palais/pi.pdf explains further how we manage to miscalculate the value of pi
     
  2. PaulDG

    PaulDG Occasional commenter

  3. These is no suggestion that anyone miscalculated anything.

    This is a rather old idea.

    If you want to give 2pi another name you are free to do so. I'm going to go on calling it 2pi.
     
  4. A change to the definition of Pi - circunference/diameter - would sadly wreck one of the most remarkable results in mathematics: int(x^4 times (1-x)^4 / (1+x^2), x=0..1) = 22/7 - Pi.
    No change please.
     
  5. Nazard

    Nazard New commenter

    This cropped up lots in the press last June.(*)

    Here are some links for those who missed it:

    www.bbc.co.uk/news/science-environment-13906169

    tauday.com

    thepimanifesto.com

    [* Why June? Well, in the bizarre US date-order-system the 28th June is 6/28, and apparently this is then appropriately rendered as 6.28 (rather than as a fraction). It's no more bizarre than insisting that 14th March is "Pi Day", I suppose. Still - it is nice to see that Wikipedia has 22nd July as "Pi Approximation Day" - because this at least puts the numbers in a good order and treats them as a fraction. 3.14 is, of course, an exact version of pi .... ]
     
  6. Karvol

    Karvol Occasional commenter

    Er...
     
  7. Nazard

    Nazard New commenter

    I can't work out how to get smileys when using Chrome (getting the hyperlinks linked is fairly heroic!). I sort of relied on the "dotdotdot" to indicate sarcasm. Sorry if that caused confusion!
     
  8. Karvol

    Karvol Occasional commenter

    [​IMG]

     
  9. adamcreen

    adamcreen Occasional commenter

    definitely one from the green ink brigade, like the guy at Durham (or was it Reading) who "discovered" the value of 1/0 and reinvented the number system
     

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