Given
The length of the arc on a circle with radius 2.5 meters intercepted by a central angle of 120degrees
Formula
[tex]\begin{gathered} \text{Arc Length =}\frac{\theta}{360}\times2\pi r \\ \end{gathered}[/tex]
Where
[tex]\begin{gathered} r=2.5m \\ \theta=120^0 \end{gathered}[/tex]
We can substitute into the formula
[tex]\begin{gathered} \text{Arc length =}\frac{120}{360}\times2\times3.142\times2.5 \\ \\ \text{Arc length =}\frac{120}{360}\times15.71 \\ \\ \\ \text{Arc length =}\frac{1}{3}\times15.71 \\ \\ \text{Arc length =}5.237m \end{gathered}[/tex]
The final answer is 5.237m
