In 1897, Indiana tried to regulate Pi.
us1.campaign-archive2.com
us1.campaign-archive2.com
http://en.wikipedia.org/wiki/Indiana_Pi_Bill
Google finds many more references of varying detail.
Most people know the approximation 22/7, and many people actually think this is the exact value. A much better approximation is 355/113, unreasonably good, as evidenced by the unusually large integer in the continued fraction expansion of pi.