Answer
$8.77$ cm
Work Step by Step
The formula to be used here is $s=r\theta$ where $s$ is the arc length, $r$ is the radius and $\theta$ is the angle in radians.
Substituting the values of $r=11.4$ cm and $\theta=0.769$ radians into the formula and solving using a calculator:
$s=r\theta=11.4\times0.769\approx8.77$ cm