In order to find the length of the arc, we can use the following formula:
[tex]l=r\theta[/tex]
Where r is the radius and θ is the central angle in radians.
So first, let's convert the angle to radians:
[tex]50\degree=50\cdot\frac{\pi}{180}=\frac{5}{18}\pi[/tex]
Now, calculating the length of the arc:
[tex]\begin{gathered} l=r\cdot\theta \\ l=4\cdot\frac{5}{18}\pi \\ l=\frac{10}{9}\pi \end{gathered}[/tex]
