Centre of a Circle Tangent to Another Circle

Rarely Tested

Centre of a Circle Tangent to Another Circle

If a circle of radius $$r$$ is externally tangent to a circle with centre $$o$$ and radius $$r$$, its centre $$p$$ satisfies:

$$OP=R+r$$

Usage

- Used to find the locus or possible centre of a circle externally tangent to a fixed circle.

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