# Euler's inequality

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

## Euler's Inequality

Euler's Inequality states that

$R \gt 2r$ (Error compiling LaTeX. ! Undefined control sequence.)

## Proof

Let the circumradius be $R$ and inradius $r$. Let $d$ be the distance between the circumcenter and the incenter. Then $$d=\sqrt{R(R-2r)}$$. From this formula, Euler's Inequality follows