1 Answer

Kmcguire · Answer 1 · 2019-05-15T18:51:08+0000

Hello there.

We have for a circle that:

$\ell=\alpha r$

Where:

$\ell$ is the measure of the arc

$\alpha$ is the measure of the angle (radians)

is the radius of the circle

In our case, we have
$\alpha = 120^\circ = (120)/(180)\pi = \frac23\pi ~rad$

We have r = 3 cm, then:

$\ell = (\frac23\pi )(3\ cm)\\ \\ \boxed{\ell = 2\pi~cm}$

Please log in or register to add a comment.