# Arc: Length (in Radian)

How to find the length of an arc whose central angle is in radian: formula, 1 example, and its solution.

## Formula

l = rθ

l: Length of the arc

r: Radius of the arc

θ: Central angle of the arc (in radian)

Use this formula

when the central angle θ is in radian.

When the central angle is in degree measure,

use this formula.

## Exampler = 6, θ = 2π/3, l = ?

Solution

Solution (Detail)

r = 6

θ = 2π/3

So l = 6⋅[2π/3].

Cancel the denominator 3

and reduce the numerator 6 to, 6/3, 2.

2⋅2π = 4π

So 4π is the answer.