How do you do pi in mathematics?

Pi is the division of a circle's circumferance over its diameter. The result is what we know as pi, 3.14159265415.....etc. However, in a structured world of physics and mathematics which we live in, there is no real answer which is the real irony. Even wanting 2 examples of whole numbers to result in pi is frugal. The closest we can come is probably 22/7ths which is only around 13/10,000ths of a unit off from pi, but still not pi itself. If you don't have a calculator with a pi function and need to use pi but can't recall pi (beyond 3.14), then this would be a good ballpark substitute.

Now you would think with physics and mathematics being so orderly, pi would be rational and orderly too. But SOMEONE has a sense of humor.