I have an ellipse centered on the origin parameterized by $a$ and $b$. Given its $x$ coordinate, how large can its radius be and still have the circle inside the ellipse?
2026-04-24 01:46:04.1776995164
How large can a circle's radius be in an ellipse?
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The maximal radius is the minor axis of the ellipse. You can derive this by first picking the $x$ coordinate, then optimizing.