1 Answer

Daniel Rotter · Answer 1 · 2021-10-25T09:04:53+0000

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:

=
$2\pi r((\theta)/(360))$

Now,

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

$S = 2(\pi)(9)((120)/(360) )$

$S = 6\pi$

Hence,

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

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