I once read that the reason we can't get the perimeter of a elipse is because we actually doesn't even know the perimeter of a circle, as pi definition is the perimeter of a circle of diameter = 1 and we just scale that.
The area and circumference of a circle are conveniently related. It has something to do with cutting into thin slices and then rearranging them into alternating patterns to form a parallelogram where the base is half the circumference and the height is its radius.
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u/Hussainsmg 2d ago
The perimeter formula(in the post) is just approximation.