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Are my postulates true regarding circles?

  1. Nov 8, 2012 #1
    If we know the exact radius of a circle, then we can't have an exact circumference, and if we know the exact circumference, then we can't know the exact radius.

    If these postulates are true, then I realize that this idea is not original but probably known since B.C.
     
  2. jcsd
  3. Nov 8, 2012 #2
    Exact isn't the right word to use. If I have a circle with diameter 1, I know that the circumference is exactly ##\pi##, I just can't represent ##\pi## by a finite decimal sequence.

    However you are right in your idea, a circle cannot simultaneously have a rational circumference and a rational radius.
     
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