I like these kinds of things, but a part of me has always wondered why people don't want to just memorize it to six digits at that point. I mean, how long does it really take you to memorize 3.1415926?
Or you could do what I always did, much to the annoyance of my high-school and college physics teachers, and just write down all my answers in terms of pi and never bother reducing it, since I would always argue that I can keep it exact that way :)
