You’re absolutely right! Pi isn’t an infinite number, and it is a load of nonsense to claim that it is.

3<π<4$3<\pi <4$.

The first thing they teach you in math class is that any number that sits between three and four isn’t infinite.

Why do people (mistakenly) say that pi is infinite?

It’s because pi is irrational, and therefore, its decimal expansion is infinite. If you try to write all the digits of pi, you’ll never reach the end, even if you keep writing until the heat death of the universe.

But that’s not the same as saying pi itself is infinite. Each digit increases the value of pi, but by increasingly smaller amounts.

This isn’t theoretical, by the way. There are numerous proofs, some easier to understand than others, that pi is an irrational number.

It also isn’t unique to pi. Every irrational number has a never-ending decimal expansion: √2$\sqrt{2}$, e$e$, sin60∘$\sin {60}^{\circ }$, the Golden Ratio, etc. And there are infinitely many irrational numbers; in fact, the cardinality of irrational numbers is greater than the cardinality of rational numbers.

So… people get hung up on pi, I guess because of its familiarity, but there’s really nothing special about it, as numbers go.

Pi is a ratio between two things. . . It just so happens that the value of Pi is exact, but not exact using our decimal numbers, based on 10 fingers, so its decimal value does go on to infinity. . . .

The formula I have developed to work out the value of Pi will also go to a million and more places, if you can find a computer to be able to work to that many places.

I have a copy of that number, to I believe, 1 million places :