Cycle Graph is Eulerian

Theorem

Let $G$ be a cycle graph.

Then $G$ is Eulerian.

Proof

From Cycle Graph is Connected, $G$ is a connected graph.

From Cycle Graph is $2$-Regular, $G$ is $2$-regular.

It follows directly from Characteristics of Eulerian Graph that $G$ is Eulerian.

$\blacksquare$