Suppose we have a circle whose origin is at $(0,0)$ and its radius is $r$. There is a vertical straight chord that cuts the circle in two parts, say the left part is the left-ratio and the right part is the right-ratio (They are both natural numbers).
From the information provided above, i.e. $r$, the left-ratio and the right-ratio, how do I figure out the $x$-intercept of the chord inside the circle?