We have the following general rule for the arc length:
[tex]\text{arc length =}\frac{2\cdot\pi\cdot r\cdot\alpha}{360}[/tex]
where r is the radius and alpha is the angle.
In this case, we have the following information:
[tex]\begin{gathered} \alpha=150\degree \\ r=8 \\ \pi=3.14 \end{gathered}[/tex]
then, using the formula, we get:
[tex]ArcLength=\frac{2\cdot(3.14)\cdot(8)\cdot(150)}{360}=\frac{7536}{360}=20.9[/tex]
therefore, the arc length is 20.9m
