Arc Length Calculator






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Introduction to Arc Length Calculator

An arc length calculator with steps is an online tool that calculates the length of an arc of a circle or a curve. It uses the arc length formula with central angle and radius to calculate it. In other words, it calculates the distance along with the turn of a circle.

In geometry, you often get confused with the arc length because it is a part of the circle's circumference. It is an essential geometry concept because it has many applications in real life. We introduce a tool that can help to find the arc length easily.

Formula used to determining the Length of an Arc

The arc length is the measure of distance between two points of the curve line on a circle. It is the measure of circular distance which will be greater than a straight line.

The complete circular arc calculator uses the arc length formula to find the length. It is used to calculate the length of a circle. It is given as:

$$ length \;=\; 2 \pi r \;×\; \frac {\emptyset}{360^o} $$


r = is the radius of the circle.

θ = is the measure of the central angle of the arc.

The arc length formula is used to find the length of any arc of a circle. Moreover, an arc is an important part of the circumference of a circle.

How to find the arc length of an arc of a circle?

Let’s understand the use of the arc length formula using the following example.

Example: Find the length of the arc of radius 4 and the central angle is 30°.


$$ r\;=\; 4 \;and\; \emptyset \;=\; 30^o $$

Using the formula,

$$ length \;=\; 2 \pi r \;×\; \frac {\emptyset}{360^o} $$

Put the values of radius and central angle.

$$ length \;=\; 2(3.14)(4) \;×\; \frac{30}{360^o} $$ $$ length \;=\; 2.093 \;rad $$

It is the manual calculation of the arc length. It contains several steps that make these calculations time consuming.

How to use Online Arc Length Calculator with steps

There are some simple steps to using this tool. It is easy to calculate arc length using a calculator to find the length of an arc of a circle. The steps are:

  1. Please open the website from your desired browser, or you can get the app from the play store on your android device.
  2. Various tools are available on the website; select an arc length calculator.
  3. Now write the value of the central angle in the “Central Angle” box.
  4. Write the value for the radius in the “Radius” box.
  5. Click on the “Calculate” button to start the calculation in the last step.

After a few seconds, you will get the arc length value.

Why use Arc Length Curve Calculator

There are a lot of terms in geometry that you need to understand. It is necessary to learn about the geometrical properties of different shapes. But in manual calculations, you may get confused in using formulas. That’s why users need this tool to help you by allowing practice with many examples.

Since technology has made many things easy in our real life, it also impacts our educational needs. You can use different tools related to geometry to improve your mathematical skills. This website offers many tools related to mathematics. You can get help by using them anytime.

Benefits of using the Free Online Arc Calculator

The significant advantage of using this tool is that it can improve your skill in learning about the geometrical properties of an object, just like a circle. Some other beneficial uses of this tool are given as follows:

  1. It saves you from doing tricky long manual calculations.
  2. It is elementary to use because it has simple and easy steps.
  3. It helps the students to solve many real-life problems related to geometry.
  4. It is a free online tool; you don’t need to pay any fee.
  5. It executes faster and gives accurate results.
Alan Walker

Alan Walker

Last Updated June 02, 2022

Studies mathematics sciences, and Technology. Tech geek and a content writer. Wikipedia addict who wants to know everything. Loves traveling, nature, reading. Math and Technology have done their part, and now it's the time for us to get benefits.