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AB is tangent to the inner circle, consider the trigonometric circle.

Knowing the radius of both circles, is there a relation between those 2 point's coordinates ?

Their coordinate being $A = (R \cos(\alpha)$, $R \sin(\alpha))$ and $B = (R \cos(\beta)$, $R \sin(\beta))$, $\alpha$ and $\beta$ being the angle formed by the arcs $A$ and $B$.

Meaning that for example if I know $A$, could I calculate $B$, or vice versa ?

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