Given a figure like 
, how can I determine the radius of the circle with middlepoint H analytically? CDFE is a square with sides 6/5, with E and F being points on the circles with radii 2.
2026-04-12 12:37:27.1775997447
Fitting a circle
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Maybe using $$ 1^2+(\tfrac 65+r)^2=(2-r)^2 $$ to have $$ r=\frac{39}{160} $$
Explanation: Let $r$ denote the readius of the circle in question. Then the coordinates of the point $H$ is $H=(1,\frac 65+r)$, and the direct distance from the origin to $H$ must be $2-r$. Then Pythagoras gives us the above equation.