This may seem like a dumb question, as I'm not really a physicist, but here it goes.
So, π is the number of diameter distances required to equal the circumference of a 2D disk. Relativity tells us that the faster an object moves, the shorter length of the object.
My question is: if a disk is spinning with angular velocity of say, $c/2$, would the number π be affected or would it remain it's same old 3.14 for a rapidly spinning disk?
Along those lines, how does the Lorentz contraction interact with an object that has varying velocities from the outward edge, to the inward center?