> Your own link confirms this is not true. Irrational is not the same thing as infinite.

Huh? From the article:

"Pi is a non-terminating and non-recurring irrational number. When we say that pi is infinite, we intend to say that pi has an infinite expression, not an infinite value."

That is what I meat by infinte, as in the number never ends.

I am not commenting about being more precise. I am talking about exactness. Yes, with every didgit we add to pi we become more precise, and there is a limit to what we need, but to know that there is not exact value we can give to the area of a thing, how can we say that is a thing at a deeper level? If we know things because we "measure them" and measuring is never exact, what do we really know?