#### Answer

$\color{blue}{s\approx 3.08 \text{ cm}}$

#### Work Step by Step

RECALL:
The length of the arc $(s)$ intercepted by the central angle $\theta$ in a circle of radius $r$ is given by the formula:
$s = r\theta$, where $\theta$ is in radian measure.
Use the formula above to obtain:
$s=r\theta
\\s=0.892 \cdot \frac{11\pi}{10}
\\s=3.082530712
\\\color{blue}{s\approx 3.08 \text{ cm}}$