Question

Helppppppppppp me please

Answer 1

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 ($\theta$) is:

$S$= $2\pi r(\frac{\theta}{360})$

Now,

Putting, $r = 9, \theta = 120 ^\circ$ we get,

$S = 2(\pi)(9)(\frac{120}{360} )$

$S = 6\pi$

Hence,

The length of the arc is $6\pi$ inches.