Answer
$3.5 \pi \ cm$
Work Step by Step
Let $l$ be the length of the arc:
$l=\dfrac{\text{Measure of the arc}}{360^{\circ}} \times 2 \pi r ~~~(a)$
or, $l=\dfrac{\text{Measure of the arc}}{360^{\circ}} \times \pi d~~(b)$
Here, $r$ represents radius and $d$ is diameter.
Angle=$45^{\circ}$ and $r=14 \ cm$
Thus, equation (a) becomes:
$l=\dfrac{45^{\circ}}{360^{\circ}} \times 2 \pi (14)=3.5 \pi \ cm$
