An equation needs to be devised to make fit the seeming impossibility of there being an infinite number of sides? You're saying there are a definite end number of sides? Let's say the circle was ever-expanding...
@rinkydinkydoink There are definitely math problems that haven't been fully understood or explained. But this process of parametrically separating into n pieces, summing them up, and taking the limit as n goes to infinity, that process is the basis of calculus.
And calculus has successfully solved any number of problems and made any number of correct predictions.
In the graphic below they're doubling the number of slices (halving Δx) each step.
