Answer
$$w=4.7\space \text{m}$$
Work Step by Step
For a circle of radius $r$, the arc length $s$ corresponding to a central angle $\theta$ (in radians) is given by $s=r\theta$.
Therefore,
$$w=(2\space \text{m})\bigg(\dfrac{3\pi}{4}\bigg) =\dfrac{3\pi}{2}\space \text{m} = 4.7\space \text{m}$$
