Answer
$\displaystyle \frac{55\pi}{9}\approx 19.2$
Work Step by Step
The central angle subtended by the arc is
$360^{o}-140^{o}=220^{o}$
To convert into radians, multiply by $\pi/180$.
The length $s$ of an arc that subtends a central angle
of $\theta$ radians is $ s=r\theta$.
$s=5\displaystyle \cdot\frac{220\pi}{180}=\frac{55\pi}{9}\approx 19.2$