# How do you find the length of an arc of a circle with a radius of 18cm if the arc subtends a central angle of 2(pi) / 3?

##### 1 Answer

Jul 28, 2015

The arc has length

#### Explanation:

The radian measure of an angle,

Let

#theta = s/r#

Thus if we are given radius and the central angle in radians, we can find the arc length using:

In this case::

# = 6*2pi# cm

# = 12pi# cm