Use this radians to degrees converter to change a radian measurement into its degree equivalent. Enter a number in the calculator above and the result updates instantly.
Angle conversions are useful for geometry, trigonometry, navigation, surveying, machining, astronomy, and engineering drawings.
What is a radian?
A radian is the SI angle unit used in mathematics, trigonometry, physics, and engineering calculations.
What is a degree?
A degree is an angle unit equal to 1/360 of a full turn. It is widely used in geometry, navigation, surveying, and everyday angle measurement.
Radians to Degrees Converter formula
To convert radians to degrees, use the formula below.
1 rad = 57.2957795131 deg. This relationship is the conversion factor used by the calculator.
How to convert radians to degrees
Start with the radian value, apply the formula, and round the result only after the calculation is complete.
Example: 10 rad = 572.957795131 deg.
- 1 rad = 57.2957795131 deg
- 10 rad = 572.957795131 deg
- 100 rad = 5,729.57795131 deg
Manual conversion steps
- Write down the value in radians.
- Use the conversion formula: degrees = radians x 57.2957795131.
- Calculate the result in degrees.
- Round the answer to the number of decimal places you need.
For quick checking, the converter above performs the same calculation automatically.
Common radians to degrees use cases
This conversion is useful in practical situations where measurements need to move between different unit systems or audiences.
- Convert radians to degrees when you need equivalent measurements in another unit.
Common mistakes when converting radians to degrees
These are the most common issues to watch for when doing this conversion by hand.
- Do not mix up the direction of the conversion. radians to degrees is not the same as degrees to radians.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Radians to Degrees conversion table
| Radian | Degree |
|---|---|
| 1 rad | 57.2957795131 deg |
| 5 rad | 286.478897565 deg |
| 10 rad | 572.957795131 deg |
| 25 rad | 1,432.39448783 deg |
| 50 rad | 2,864.78897565 deg |
| 100 rad | 5,729.57795131 deg |
How to convert degrees to radians
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: degrees to radians.
Reversing the units is useful when you already have a value in degrees and need the equivalent value in radians.
How to use this radians to degrees converter
- Enter the number you want to convert in the value field.
- Confirm that the from unit is Radian and the to unit is Degree.
- Read the converted result in the result box.
- Use the copy button if you want to paste the answer elsewhere.
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FAQ
What is the formula for radians to degrees?
The formula is: degrees = radians x 57.2957795131.
How do I convert radians to degrees by hand?
Write down the value in radians, apply the formula, and round the final result in degrees.
How accurate is this converter?
The converter uses standard conversion factors and shows rounded results for readability.
Can I reverse the conversion?
Yes. Use the swap button in the converter or open the related reverse conversion page.
Why do results sometimes have many decimal places?
Some unit conversions do not produce short decimal values. Keep more decimal places for technical work, and round the answer for everyday use.