Online Converter
Convert Radian to Degree
Conversion Formula
° = rad × 57.295779511 rad in every angle unit
Tap a unit to make it the target of the converter above.
About radians to degrees conversion
Radians are widely used in mathematics, physics and programming, while degrees are common in navigation, geometry and everyday angle measurements. A full turn is 2π radians or 360 degrees, so one radian is 180/π degrees. Multiply radians by 180/π to express an angle in degrees.
° = rad × 57.29577951How to use this converter
- 1
Enter a value
Type a number into the From box. It starts at 1 so you can see the basic ratio straight away. Thousands separators such as 1,250.5 are accepted.
- 2
Choose your units
This page opens with its own units selected. Use either dropdown to pick any other unit in the category, or tap a unit in the all-units list to make it the target.
- 3
Read the result
The answer updates as you type and the matching formula is shown underneath. There is no Convert button to press.
- 4
Swap, copy or clear
Swap reverses the direction, Copy Result copies a line such as 1 km = 0.621371 mi, and Clear empties the input so you can start again.
Supported formats
Input
- SupportedWhole numbers
25 - SupportedDecimal numbers
2.75Use a dot as the decimal separator.
- SupportedNegative numbers
-40Calculated for every unit. Quantities such as length or weight are normally positive, while temperatures can be negative.
- SupportedThousands separators
1,250.5Commas must group digits in threes. 1,234 is read as one thousand two hundred thirty-four.
- SupportedScientific notation
1.5e6Useful for very large or very small values (1.5e6 = 1,500,000).
- Not supportedComma as decimal mark
2,5Type 2.5 instead.
- Not supportedFractions
1/2Type 0.5 instead.
- Not supportedNumbers with unit text
5 kmEnter only the number and choose the unit from the dropdown.
Output
Results use US English formatting (1,234.56) and show up to 6 decimal places with trailing zeros removed. Very small results appear in scientific notation, such as 9.0949e-13, instead of rounding to zero.
Units available in this converter
- Degree (°)
- Radian (rad)
- Gradian (gon)
- Arc Minute (′)
- Arc Second (″)
Quick reference tables
Common values for the units currently selected above, in both directions.
| rad | ° |
|---|---|
| 0 | 0 |
| 30 | 1,718.873385 |
| 45 | 2,578.310078 |
| 60 | 3,437.746771 |
| 90 | 5,156.620156 |
| 180 | 10,313.240312 |
| 270 | 15,469.860469 |
| 360 | 20,626.480625 |
| ° | rad |
|---|---|
| 0 | 0 |
| 30 | 0.523599 |
| 45 | 0.785398 |
| 60 | 1.047198 |
| 90 | 1.570796 |
| 180 | 3.141593 |
| 270 | 4.712389 |
| 360 | 6.283185 |
Worked examples
Half a radian
0.5 × 57.29577951 = 28.64789One radian
1 × 57.29577951 = 57.29578Pi radians
3.141593 × 57.29577951 = 180Two pi radians
6.283185 × 57.29577951 = 360Good to know and limitations
Tips
- Use degrees = radians × 180/π; JavaScript's trigonometric functions expect radians.
- Common references are π/2 = 90°, π = 180° and 2π = 360°.
- Angles are not wrapped to one turn. 450° converts to about 7.853982 rad and is not reduced to 90°.
- Degrees-minutes-seconds notation such as 40°26′46″ must be entered as a decimal value.
- Results show up to 6 decimal places. Values are not rounded during calculation, and a non-zero result that would display as 0 is shown in scientific notation.
Frequently asked questions
What is 1 rad in °?
1 Radian (rad) equals 57.29578 Degree (°).
How do I convert Radian to Degree by hand?
Use ° = rad × 57.29577951. For example, 0.5 rad = 28.64789°.
What is 1° in rad?
1 Degree (°) equals 0.017453 Radian (rad). Use the swap button to convert in this direction.
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