I have discovered how to calculate the exact perimeter of an ellipse using only pythagorean theorem

[toxic whale]

no part of the boundary of the ellipse is a helix

https://www.desmos.com/3d/motibaaknw

[cursive hemlock]

where's the formula for any major and minor radius a and b?

you can't use provide one example with numerical values

so in the example, the minor radius is 1/2

because the width is 1, that will be the diameter so the radius is half that

the major diameter is 2 because 1*sec60 so the major radius is 1

the perimter should be ~4.844

using the elliptic integral