I am wrong in thinking the circumference or the diameter of a circle has to be rational?

  • Alteon@lemmy.world
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    9 months ago

    What’s interesting is that no matter how big or how small your circle is, pi is a constant ratio of the diameter to the perimeter (or circumference) of your circle. If you were to cut a string to the length of your circle’s diameter, it WILL take 3.14 lengths of string to wrap around the circle (or π times). That’s where that number comes from.

    Because of this ratio, there will never be a situation in which both the diameter and circumference are both rational numbers at the same time. Either your Diameter is a rational number or your circumference. For example:

    P=πD

    If D=1… Then P=π(1) or P=π

    If P=1… Then P=π(1/π) where D=(1/π)