Question

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

Answer 1

Answer:

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

Step-by-step 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,

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

Putting the values,

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

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

Answer 2

12 centimeters (on APEX)