I'd like to find the equation that describes the intersection between two circles. I'm having some trouble though. What I've thought of doing is to write down the two inequalities of the 2 circles, something like this:
$$(x-x_0)^2 + (y-y_0)^2 < r_0^2$$ $$(x-x_1)^2 + (y-y_1)^2 < r_1^2$$
where the first circle is centered in $(x_0, y_0)$ with a radius of $r_0$, and the second one is centered in $(x_1, y_1)$ with a radius of $r_1$.
I can't seem to solve this, though, and I'm not sure whether I'm missing some other condition or if this is perfectly fine and I'm just failing at solving it. Thank you!