How do I calculate a point's coordinates on a circle’s circumference

Question

I have got a circle with radius $r$ and center point $c_x$ and $c_y$.

Known values: - $c_x$ and $c_y$ - $r$ - length $AR_a$ - length $BR_b$

Angle between point $A$ and the radius $r$ is unknown and angle between $B$ and the radius $r$ is unknown. Is it posible to get coordinates for $A$ and $B$ using any formula?

Thanks a lot in advance.

Answer 1

Use Pythagoras to obtain the vertical distance $\sqrt{r^2-|AR_a|^2}$