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

  • BrerChicken @lemmy.world
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    9 months ago

    Pi is irrational because it represents an imperfect ratio. Curves are different than straight lines, so when you try to relate them to one another, some things don’t match up. It happens any time straight lines and curved lines interact, I think. Pi and e both show up in the weirdest friggin places.

    • Klear@lemmy.world
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      9 months ago

      It has nothing to do with the curve being weird. You’re working with two length, and a length of a curve is no different from a length of a radius. You can have a circle where the circumference is exactly 1. In that case it’s the radius that’s bringing in the irrationality.