Question

Answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs

Answer 1

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:

$s=2\pi r\times \dfrac{\theta }{360^\circ}$

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.

$s=18\times \dfrac{120^\circ}{360^\circ}$

$s=18\times \dfrac{1}{3}$

$s=6$

Therefore, the length of the arc is 6 units.