Answer
$6.283\text{ meters}$
Work Step by Step
The arc length can be computed using the formula
$s=r\cdot \frac{\theta}{180}\cdot \pi$
Substitute the given values into the formula above to obtain:
$s=3\cdot \frac{120}{180}\cdot \pi
\\s=2\pi\\
s\approx6.283\text{ meters}$