# Arc Length Calculator

Splitting a **circle** or a **circular** path can **help** students in **solving** different **problems** related to this **geometrical** figure. **One** of the **most** important **terms** used in this **regard** is the **arc** length that **belongs** to a **circular** path. Finding this **length** can be an **easy** task if you are using this **arc length calculator** and learning it in a **proper** way.

**Sometimes**, you may be **unable** to **understand** this length because of its **curved** nature. This maths calculator can help you in **finding **this length within **seconds**. You only need to **insert** the given **input** data in this **online tool** to get the **answer**. Wanna use it to learn **about** this method? Keep **reading** because we will **show** you how to use this **calculator** for **arc** length calculation in detail.

**Table of Contents**

## What is Arc Length?

An **arc** is a **particular** section or **part** of the **circumference** of the **circle**. We all know that a **circle** is the **combination** of multiple **points** having a **fixed** distance from a **specific** point **called** the **radius**. When multiple points are **joined**, the round **boundary** of a circle is **formed**.

A specific **part** of that **boundary** is called the **arc** of that **circle**. It is **formed** by **joining** two **point** from the **circumference** with the **radius** of the circle. The lines **drawn** from the **radius** will make an **angle** at the point of **intersection** that is **involved** in the calculation of the **arc length**. Normally, the arc length is **represented** by the symbol “**l**”.

### Arc Length Formula

To **find** the arc length of any **specific circle**, you should **know** the **radius** of that **circle** and the angle **made** by the **lines** making an arc on the **circumference**. If you have **both **of these **measurements**, you can **follow** this formula to **find** the arc length.

Arc Length (l) = Radius (r) x Angle (𝜽)

While finding this length, you have to keep the following two points in your mind.

- The unit of arc length will be the same as the radius of the circle.
- The angle must be measured in radians. If it is given in degrees, you need to convert it into radians first.

### How to find the arc length?

By **reading** the above **formula** and related **points**, you may have **got** an idea of **how** to find the arc **length**. For your **better** understanding, let us share a **solved** example here.

**Example 1:**

Find the measure of arc length if the radius of the circle is 13 meters and the angle is 45 radians.

**Solution:**

As we know,

l = r x 𝜽

We have to put the values in the formula.

l = 13 x 45 meters

= 26 m

### How to use an arc length calculator?

You aren’t **lucky** always to **get** simple **values** to **find **the arc length as **done** earlier. You may get **complex** values to **deal** with. If you are **unable** to solve such **questions**, get assistance from this tool by Calculator’s Bag. It can show you the measure of arc length just with the insertion of the required data. it.

- Put the measure of an angle and choose its unit
- Write the measure of radius and choose its unit
- This calculator will automatically show you the measure of arc length for that specific circle.

### FAQ | Arc Length

**What is the arc length formula?**

The formula for finding an arc length is given by,

l = r x 𝜽

**How do you find arc length without the radius? **

In a simple approach, it is impossible to do so because we can’t make an arc without a radius. But if we have been given the measure of diameter, we need to first divide it by “2” to get the measure for radius.

**How do you find arc length using radians? **

The process is simple because we only have to multiply the measure of the radius with the measure of an angle given in radians.

**Does arc length have to be in radians? **

No, arc length is a specific length measurement. The unit for arc length must be the same as the unit of the radius.

**How to find arc length? **

To find an arc length, you only have to multiply the measure of the radius by the measure of the angle made between two radius lengths making an arc.