If pi is unlimited, how can we get exact values for areas/circumferences of circles?

Question

E.g. how can we say that a circle has an area of 25.00cm^2 if pi is irrational?? How can a circle, a closed shape, have a limited area if pi is unlimited??

In: Mathematics

Answer 1

Those are purely theoretical values. The area of a circle, by deign of including an irrational number in its calculation, is also irrational. That’s why circles are often written in terms of pi, which is considered the exact value (e.g., 10pi in^2)

Anything else is technically an approximation.