Answer:
r = 84
Step-by-step explanation:
In order to solve this question, we need the formula for the arc length.
The correct formula is:
[tex]\frac{central-angle}{360} * 2\pi r[/tex]
Plugging the numbers into this formula, we find that:
[tex]\frac{120}{360}*2\pi r=56\pi[/tex]
[tex]r=84[/tex]