Answer:
So, the arc length is [tex]24\pi [/tex]
Step-by-step explanation:
We are given
diameter =36m
so, we can find radius
[tex]r=\frac{36}{2}=18m[/tex]
and angle as
[tex]\theta=240[/tex]
Since, it is in degree
so, we can change it in radian
[tex]\theta=240\times \frac{\pi}{180}[/tex]
[tex]\theta=\frac{4\pi}{3}[/tex]
now, we can find arc length
[tex]L=r\times \theta[/tex]
now, we can plug values
[tex]L=18\times \frac{4\pi}{3}[/tex]
[tex]L=24\pi [/tex]