alt Hacker NewsHard 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.
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.
Pi is an infinite number. Each time we calculate the area of a circle with another decimal of pi we get a new answer.
You seem to be avoiding the question of how we can know the exact area of a circle knowing that pi is infinite.
I am saying that the area of a circle is impossible to know. And that has both philosophical and physical ramifications.
Very fact that this well-known scientific truth is hard to accept those people is telling.
https://www.scienceabc.com/pure-sciences/can-the-area-of-a-c...
“Hence, not only is it impossible to ever determine the exact value of the area of a circle, but it is equally impossible to measure any area with 100% accuracy.”