So, how can we ever know its finite value?
May as well be an infinite number...
picture a number line - 1,2,3,4,5,6,7,8,9...
pi has exactly 1 spot on that line - just like 1, 4 1/2, 7.2...
just because you write down another decimal place digit to the "approximation", the value of pi does not change or change locations on the number line