Seems like this is a simple question, but my own created equations don't seem to replicate results for other combinations of circles.
Circle A at (0,0) has a radius of 6.
Circle B at (15,0) has a radius of 2.
Continuing this trend, what is the radius of a Circle C at (Cx, 0) and can this be generalized to fit other Circle A and B combinations (where Circle A is always the largest)?
Edit: The further away from Circle A, the smaller the radius will be. The regression will be linear (and consequently the radius will eventually hit zero). For a similar image that could illustrate what I mean, you might say Circle A is a lightsource, Circle B is an object smaller than the lightsource, and Circle C is a shadow.
Thanks for your time!
You can certainly fit a line through $(0,6)$ and $(15,2)$ to say a circle with center at $(C,0)$ should have a radius of $6-\frac 4{15}C$. If $C \gt \frac {45}2$, the radius goes negative. You could also fit curves like a falling exponential so the radius is always positive.
" can this be generalized to fit other Circle A and B combinations (where Circle A is always the largest)"? Of course. The question is so vague that it is not clear what you are looking for.