Equation of a Circle Touching a Given Line
For a circle with centre $$(h,k)$$ and radius $$r$$, tangent to:
$$Ax+By+C=0$$
the condition is:
$$\frac{|Ah+Bk+C|}{\sqrt{A^2+B^2}}=r$$
Usage
- Used to determine unknown centre or radius when a circle is tangent to a given line.