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Answer :

Given that:

Radius of the circle = 6 cm

Central angle of the arc = 120 degrees

The formula to find the arc length of a circle of radius is

[tex]Arc\text{ length=}\frac{\theta}{360^{\circ}}\cdot2\pi r[/tex]

Substitute the given values into the formula.

[tex]\begin{gathered} Arc\text{ length=}\frac{120^{\circ}}{360^{\circ}}\cdot2\pi\cdot6 \\ =12.566\text{ cm} \end{gathered}[/tex]