Here is an arc with known coordinates at starting & ending points.
The curve's starting & ending point coordinates are $A (0.19,0)$ and $B (0.1375,0.22)$ respectively.As curve is assumed to be a part of a circle whose center would be at $C (0,0.11)$ with radius $0.15$.
If a horizontal line (intersecting the curve) drawn at a distance $y=0.02$ ,what would be the possible method to find out the $x$ coordinate of that point of intersection?
Best Answer
The equation of the circle of center $C (0,0.11)$ and of radius $0.15$ is
$x^2+(y-0.11)^2=0.15^2$
The equation of the line is $y=0.02$
From there it is easy to find the intersection points.
And since you want only the point intersecting the arc, you have to see which point belongs to the arc.