Finding Extremities Points of a Semi Circle

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I want to find the coordinates of points $A$ and $B$. The Radius (the red line between $(2,3)$ and $(4,4)$) is known and I need to find what points $A$ and $B$ are by using the existing points and the radius. The distance from $A$ to $(2,3)$ or from $B$ to $(2,3)$ is equal to the radius.

Can anyone help, please!