The rule of the length of the arc is
[tex]L=\frac{x}{360}\times2\times\pi\times r[/tex]Where x is the central angle of the arc
The angle of the arc is 150 degrees
x = 150
The radius of the arc is 2.4 km
r = 2.4
Substitute them in the rule
[tex]\begin{gathered} L=\frac{150}{360}\times2\times\pi\times2.4 \\ L=2\pi \end{gathered}[/tex]The length of the arc is 2pi
