Radians to Degrees Converter

This calculator provides two formulas for converting radians to degrees: the preferred formula, which involves multiplying radians by 180 divided by π, and an alternate formula using the conversion ratio of 57.29578 degrees per radian. Additionally, it explains the relationship between radians and degrees and provides definitions for both units of angle measurement.

Enter the angle in radians below to get the value converted to degrees. The calculator supports values containing decimals, fractions, and π: (π/2, 1/2π, etc)

How “Radians to Degrees Converter” Works?

Imagine you’re using a conversion tool with a single input:

Radian Value: You input the angle in radians that you want to convert to degrees.

The Conversion Process:

Input: You enter the angle in radians that you want to convert.
Formula Application: The tool applies the formula:

$Degrees = Radians \times (π/ 180)$

Understanding the Formula:

Radians: This is the angle you input in radians.
180/π: This is a conversion factor. Think of it as a magic number that helps to convert radians to degrees. It’s like a special ratio that makes the conversion work.
Degrees: This is the result you get after applying the formula.

Example Calculation:

Let’s say you input 1.57 radians. Plugging this into the formula:

$Degrees = 1.57 \times (π 1/80)$

After calculation, you get the result in degrees.

Final Outcome:

The tool displays the result, giving you the angle in degrees. This helps you convert angles from radians to degrees easily.

And that’s how the converter works! It simplifies the process of converting angles for you.