# Arc Length Definition

In geometry, an **arc length**, also known as the length of an arc, is defined as the **range interval or distance among the two points of a circle’s circumference or curve**.

In mathematical form, an arc length of a circle is written as: s = θ × r Where, s = length of an arc. θ = angle formed in an arc (measured in radians) and r = radius of a circle (measured in cm).

For a more precise understanding, check out the picture given below:

**Table Of Contents**

## Formula Of Arc Length

To calculate arc length in degree, you can use this formula:

s = (θ × π/180) × r

**Where,**

θ = degree

r = radius

**Note:**

To calculate arc length, you can use our Arc Length Calculator.

### Example

For more precise understanding, let us have an example below:

If a radius of an arc = 10cm and the angle formed in it is 0.349 radians, you can find the length of an arc using the formula listed below:

**Given data**

r = 10 cm

θ = 0.349 rad

**To Find**

Arc length = ?

**Solution**

To find out the arc length, we will use the formula listed below:

s = θ × r

Putting values in the formula:

s = 0.349 x 10 = 3.49 cm