Given we have the radius of this circle and the coordinates of A, how can I calculate the coordinate of C? C is also at the furthest part away from the line, or in other words a line going form A to C would be rotated 90 degrees from the line passing through A.
I tried using a substitution of the distance between point A and point C into the line equation for A, but I just can't seem to get the maths right for it.