## Precalculus: Mathematics for Calculus, 7th Edition

$\displaystyle \frac{55\pi}{9}\approx 19.2$
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 $s=r\theta$. $s=5\displaystyle \cdot\frac{220\pi}{180}=\frac{55\pi}{9}\approx 19.2$