Answer
$\dfrac{22}{9}\pi \ inch$
Work Step by Step
Let us consider that $s$ is the length of the arc.
We can find the arc length $s$ as: $s=\dfrac{x}{360^{\circ}} (2 \pi r)$
We are given that $x=110$ and $r=4$
Thus, $s=\dfrac{110}{360^{\circ}} (2 \pi)(4)=\dfrac{22}{9}\pi \ inch$