Respuesta :

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]