I have to say; that's a pretty impressive feat...
...but think of the poor folks that had to sit there checking it for the world record...

And in the spirit of accuracy,
22/7 is close,
355/113 is very close,
but why not just remember the *equally* as easy formula,
4( (4arctan(1/5)) - (arctan(1/239)) ) ?

On second thought, the "355/113"'s get my vote.