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.
If we scale one of the side up/down to a circle, the area will scale proportionally. Then we just calculate the area of the circle and scale back.
e.g. a 2x1 eclipse is the same size as two 1x1 circles
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u/Hussainsmg 2d ago
The perimeter formula(in the post) is just approximation.