Given:
The radius of the given diagram = 9 inches
The value of given angle = 120°
To find the length of the arc.
Formula:
The relation between arc (S), radius (r) and the angle ([tex]\theta[/tex]) is:
[tex]S[/tex]= [tex]2\pi r(\frac{\theta}{360})[/tex]
Now,
Putting, [tex]r = 9, \theta = 120 ^\circ[/tex] we get,
[tex]S = 2(\pi)(9)(\frac{120}{360} )[/tex]
[tex]S = 6\pi[/tex]
Hence,
The length of the arc is [tex]6\pi[/tex] inches.
