I believe Pi is only an approximate to start with...so this means nothing.
There are exact formulas. They do not have closed forms, and they converge very slowly.
As I recall, one of them is [4 - 4/3 + 4/5 - 4/7......]
After 10000 terms, MS Works gives 3.141492654, good to only 3 digits.
I will agree that on cheap computers, the least significant digits cannot be trusted.
π or pi is an exact, real number. It is the ratio of the circumference of a circle to the diameter. But it's not a rational number, i.e., it cannot be expressed as the ratio of two integers. So it is our representation of pi as a decimal number that is an approximation. But pi is exact.