Degrees to Radians Convertor

The Degrees to Radians calculator converts Degrees to Radians and Radians to Degrees.

The number of decimal places calculated to can be changed by selecting a figure from the drop down list,

the default number of decimal places is 2.

A conversion table is also displayed using the decimal places selected.

Degrees and Radians converter

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 1 Votes ]

This calculator includes the following algorithms

Degrees = (180 / Pi) x Radians

Radians = (Pi / 180) x Degrees

Converting degrees to radians can be a useful task when working with geometry or trigonometry. With the Degrees to Radians Convertor, you can quickly and easily convert any degree measure to radians. In this tutorial, we will provide step-by-step instructions on how to use the convertor, some interesting facts about angles and circles, and the formula used to convert degrees to radians.

Step-by-Step Instructions:

  1. Open the Degrees to Radians Convertor on your web browser.
  2. Enter the degree measure in the "Degrees" field.
  3. Click on the "Calculate" button to get the radians.

Interesting Facts:

  • The concept of angles and their measure has been around since ancient times, with the Babylonians and Egyptians using them in their mathematical and astronomical calculations.
  • The ancient Greeks were the first to define and study trigonometry, which deals with the relationships between angles and sides of triangles.
  • A circle has 360 degrees, and this convention has been used for centuries, with the Babylonians, Egyptians, and Greeks all using similar circular divisions.


The formula used to convert degrees to radians is:

Radians = Degrees * (π / 180)

The formula calculates the degree measure in radians by multiplying it by the constant π/180, where π is approximately 3.14159 and represents the ratio of the circumference of a circle to its diameter.

For example, if the degree measure is 45°, the formula would look like this:

Radians = 45 * (π / 180) = 0.7854 radians

Therefore, the measure in radians is approximately 0.7854 radians.

The measure in radians is:

[radians] radians

Radians = Degrees * (π / 180)


The Degrees to Radians Convertor is a valuable tool that can help you convert any degree measure to radians accurately and easily. By following the step-by-step instructions in this tutorial, you can quickly determine the measure in radians from any degree measure. Remember to use interesting facts about angles and circles to engage your audience and make your content more informative.