The formula for getting the arc length is:
[tex]ArcLength=\frac{\theta}{360}\times2\pi r[/tex]
where θ = the central angle and r = radius.
Since central angle = 120 and radius = 6cm, let's plug them into the formula above.
[tex]ArcLength=\frac{120}{360}\times2\times\pi\times6cm[/tex]
Then, solve.
[tex]\begin{gathered} ArcLength=\frac{1}{3}\times12cm\times\pi \\ ArcLength=12.56637cm \\ ArcLength\approx12.566cm \end{gathered}[/tex]
Therefore, the length of Arc BC is approximately 12.566 cm.
