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

12 centimeters (on APEX)

Answer 2

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.