# Arc of a Circle Calculator

A **circle** is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.

## What is the Arc of a Circle Calculator?

'Arc of a Circle Calculator' is an online tool that helps to calculate the arc length for a given central angle and radius. Online Arc of a Circle Calculator helps you to calculate the arc length in a few seconds.

## How to Use Arc of a Circle Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the central angle in degrees and radius in the given input box.**Step 2:**Click on the**"Calculate"**button to find the arc length for a given central angle and radius.**Step 3:**Click on the**"Reset"**button to find the arc length for different values.

## How to Find Arc of a Circle?

The** arc of a circle **is also known as arc length which is defined as the distance along the part of the circumference of any circle or any curve (arc). It can also be defined as interspace between the two points along a section of a curve. The length of an arc is calculated using the formula:

**Arc length(L) = (θ × 2πr) / 360°**

Where 'θ' is the central angle in degrees, and 'r' is the radius of the circle.

From the image, AB = arc length, OA or OB = radius, Central angle(θ) at center 'O'.

**Solved Example:**

Find the length of an arc if the central angle is 47.77° and the radius is 6 units?

**Solution:**

Arc length(L) = (θ × 2πr) / 360°

=** **(47.77 × 2 × π × 6) / 360°

= 1799.9736 / 360

= 5.008

Therefore, the length of an arc is 5 units.

Similarly, you can try the calculator to find the length of an arc for the following:

- Central angle = 60° and radius = 9 units
- Central angle = 90° and radius = 8 units