Answer :
We are asked to determine the arc length of a circle segment. To do that we will use the following formula:
[tex]S=r\theta[/tex]Where "S" is the arclength, "r" is the radius and "theta" is the angle. Replacing the given values:
[tex]S=(6)(122)\times\frac{\pi}{180}[/tex]We multiply by pí over 180 to convert the angle to radians. Solving the operations:
[tex]S=12.78[/tex]Therfore, the length of CE is 12.78 units