Graph G is defined by the arrow diagram below. Graph $G$ is defined by the arrow diagram below.

Select the statement about $G$ that is false.

G has a cycle of length $1$

G has a cycle of length $3$

G has a circuit of length $4$

G has a circuit of length $5$

The arrow diagram shows set $\{1,2,3,4\}$ with relation $\{(1,3),(1,4),(3,4),(4,2),(2,3),(2,2)\}.$

Select the statement about G that is false.

Group of answer choices

G has a cycle of length $1$

G has a cycle of length $3$

G has a circuit of length $4$

G has a circuit of length $5$