1 Answer

Mark Scheel · Answer 1 · 2022-03-13T02:33:59+0000

Given:

The circumference of a circle is 18.

Central angle of an arc is 120 degrees.

To find:

The measure of arc length.

Solution:

The arc length of a circle is:

$s=2\pi r* (\theta )/(360^\circ)$

Where, r is the radius of the circle,
$\theta$ is the central angle in degrees.

We know that,
$2\pi r$ is the circumference of the circle. So, substitute
$2\pi r=18,\theta=120^\circ$ in the above formula.

$s=18* (120^\circ)/(360^\circ)$

s=18* (1)/(3)

s=6

Therefore, the length of the arc is 6 units.

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