Arc Length Calculator

Calculate the arc length of a circle sector. Enter the degrees of rotation/central angle, and the radius to calculate the arc length and sector area.

Arc Length Formula

The following can be used to calculate the total length of an arc.

L = r * Θ

Where L is the arc length

r is the radius

and Θ is the central angle or angle of rotation.

The length of an arc depends only on the radius of that circle and the central angle of the arc. The arc length is some portion of the circumference. An arc equal to the circumference would have a central angle of 2*PI.

How to calculate Arc Length

Let’s review an example of calculating arc length is calculated.

First, either measure or evaluate the radius or diameter of your circle. This can be chosen instead of measured if you choose so. We will chose 2 meters.

Next, measure or choose the central angle. This is also sometimes referred to as the angle of rotation. We will chose 35 degrees.

Finally, enter the values into the calculator above, or the equation, and we get 1.22 meters.

For more math related calculators, click here.

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