Question

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?

Answer 1

hte measure of the Length is given by the formula
L= R x teta

so L= 3x2=6 radians.cm

Answer 2

`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`