Euler's Formula for Incenter and Circumcenter

Euler's Formula for Incenter and Circumcenter

If $$o$$ is the circumcentre and $$i$$ is the incentre:

$$OI^2=R(R-2r)$$

Terminology

- $$r$$ → Circumradius.

- $$r$$ → Inradius.

Usage

- Used to relate the circumradius, inradius and distance between the circumcentre and incentre.