how $\pi$ is irrational if it is a ratio

Question

How can $\pi$ be an irrational number if it is a ratio of the circumference over the diameter?

Thanks!

Answer 1

I can write any real number $\alpha$ as a ratio: $\frac\alpha1.$

What makes a number rational is when can be written as a ratio of integers (with the denominator non-zero).

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See this comic for all that needs to be said on the subject.