Respuesta :

Answer:

c = 23.3

Step-by-step explanation:

Answer:

[tex]23.3 \pi[/tex] cm

Step-by-step explanation:

Circumference of circle = [tex]2 \pi r[/tex]

The circumference of a circle is 60π cm.

So,  [tex]2 \pi r=60 \pi[/tex]

[tex]2r=60[/tex]

[tex]r=30[/tex]

Formula of length of arc = [tex]2 \pi r \times \frac{\theta}{360}[/tex]

Length of arc = [tex]2 \pi \times 30 \times \frac{140}{360}[/tex]

Length of arc = [tex]23.3 \pi[/tex]

So, Option C is true

Hence Length of arc is [tex]23.3 \pi[/tex] cm