A circle has a radius that is 3 centimeters long. If a central angle has a measure of 4 radians, what is the length of the arc that corresponds to the angle

Question

asked Dec 8, 2018 106k views

2 Answers

Mysrt · Answer 1 · 2018-12-13T03:29:34+0000

Answer:

The length of the arc that corresponds to the angle is 12 cm.

Explanation:

Given here that, the circle has a radius that is 3 centimeters long.

i.e
$r=3\ cm$

Also the central angle has a measure of 4 radians.

i.e
$\theta =4\ rad$

We know that,

$\text{Arc length}=\text{Radius }* \text{ Central angle (in rad)}$

Putting the values,

$\text{Arc length}=3* 4=12\ cm$

Therefore, the length of the arc that corresponds to the angle is 12 cm.