A few years ago, Indira Gil, friend and math educator in Miami, Forida, asked me the following:
"Why do we call pi irrational when it's clearly the ratio of a circle's circumference to its diameter?"
Of course, I agreed. Such a pithy thought has swum around my ear for as long as it has because we've come to no resolution on it. For decades, we were always told to truncate pi to 3.14 or 22/7. The geeks might get a few digits deeper (3.1415926535. . .), but generally, this was a given fact and, like many things math, we didn't have to wonder because all the wondering had been done for us.
Years later, I rebuke all of this.