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 [tex]r=3\ cm[/tex]
Also the central angle has a measure of 4 radians.
i.e [tex]\theta =4\ rad[/tex]
We know that,
[tex]\text{Arc length}=\text{Radius }\times \text{ Central angle (in rad)}[/tex]
Putting the values,
[tex]\text{Arc length}=3\times 4=12\ cm[/tex]
Therefore, the length of the arc that corresponds to the angle is 12 cm.
