alt Hacker NewsLet’s take calculating the area of a circle. Since pi is in an irrational number that goes on forever, we can only get a closer approximation to an area circle by extending the decimals of pi. But since pi goes on forever, we can never know the exact area of aLet’s take calculating the area of a circle. Since pi is in a irrational number that goes on forever, we can only get a closer approximation to an area circle by extending the decimals of pi. But since pi goes on forever, we can never know the exact area of a circle.
Do you agree or disagree with that statement?
Hard pass. The exact area of a circle is pi*r^2. We can calculate decimals of pi arbitrarily far, certainly further than our ability to measure. “Exact area” means we use symbolic math, not that we quibble about significant digits.