A circle has a radius that is 3 centimeters long. If a central angle has a measure of 2 radians, what is the length of the arc that corresponds to the angle?

Question

asked Jun 16, 2017 80.0k views

2 Answers

Erin Stanfill · Answer 1 · 2017-06-23T09:01:35+0000

Answer:

$6\ cm$

Explanation:

we know that

The formula to calculate the length of the arc is equal to

$L=r\theta$

where

r is the radius

$\theta$ is the central angle in radians

In this problem we have

$\theta=2\ radians$

$r=3\ cm$

Substitute the values

$L=3*2=6\ cm$