1 degree = 0.01745329252 radian
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| Unit | Symbol | Value |
|---|
About the Angle Converter
Convert angles between degrees, radians, gradians (gons), arcminutes, arcseconds, turns and mils. The base unit is the radian; every one of the 14 units is defined against it, so any pair converts directly in a single step.
How to Convert degree to radian
To convert degree to radian, multiply the value in degree by 0.01745329252.
degree to radian table
| degree | radian |
|---|---|
| 0.1 | 0.001745329252 |
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 20 | 0.3490658504 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 500 | 8.72664626 |
| 1,000 | 17.45329252 |
Common angle conversions
- 1 degree = 0.01745329252 radian
- 1 degree = 60 minute
- 1 degree = 3,600 second
- 1 degree = 1.111111111 grad
- 1 degree = 1.111111111 gon
- 1 degree = 0.002777777778 turn
- 1 degree = 0.002777777778 revolution
- 1 degree = 0.002777777778 circle
- 1 degree = 0.01111111111 quadrant
- 1 degree = 0.01111111111 right angle
Popular angle converters
How to Use the Angle Converter
- Type a value in the From box and choose its unit.
- Pick the unit you want in the To list — the result updates as you type.
- Use the swap button to reverse the conversion, or type in the To box to convert backwards.
- Check the All conversions table to see your value in every unit; click a row to make it the target.
Frequently Asked Questions
How do I convert degree to radian?
To convert degree to radian, multiply the value in degree by 0.01745329252. For example, 1 degree = 0.01745329252 radian. Type any value above and the answer updates as you type.
How many radians are in a degree?
There are 0.01745329252 radians in 1 degree. To convert degrees to radians, multiply by 0.01745329252 — for example, 10 degrees = 0.1745329252 radians. To go the other way, divide by 0.01745329252.
How many degrees are in a radian?
There are 57.29577951 degrees in 1 radian. To convert radians to degrees, multiply by 57.29577951 — for example, 10 radians = 572.9577951 degrees. To go the other way, divide by 57.29577951.
How many degrees are in a revolution?
There are 360 degrees in 1 revolution. To convert revolutions to degrees, multiply by 360 — for example, 10 revolutions = 3,600 degrees. To go the other way, divide by 360.
How many minutes are in a degree?
There are 60 minutes in 1 degree. To convert degrees to minutes, multiply by 60 — for example, 10 degrees = 600 minutes. To go the other way, divide by 60.
How many degrees are in a grad?
There are 0.9 degrees in 1 grad. To convert grads to degrees, multiply by 0.9 — for example, 10 grads = 9 degrees. To go the other way, divide by 0.9.
How many degrees are in a mil?
There are 0.05625 degrees in 1 mil. To convert mils to degrees, multiply by 0.05625 — for example, 10 mils = 0.5625 degrees. To go the other way, divide by 0.05625.
How many radians are in a minute?
There are 0.0002908882087 radians in 1 minute. To convert minutes to radians, multiply by 0.0002908882087 — for example, 10 minutes = 0.002908882087 radians. To go the other way, divide by 0.0002908882087.
What is the base unit for angle conversions?
The radian. Every one of the 14 units in this converter is defined relative to the radian, so any two units convert directly in one step.
How many units does the Angle Converter support?
The Angle Converter handles 14 units. You can convert between any two of them, or see your value in every unit at once in the "All conversions" table.
How accurate is this angle converter?
Conversions use exact definitions wherever one exists (for example the international inch is exactly 2.54 cm and the pound exactly 0.45359237 kg) and calculate in double precision. Choose how many significant digits to show — up to 15.
How do I use the Angle Converter?
Type a value in the From box and pick its unit, then pick the unit you want in the To list — the answer updates as you type. Use the swap button to reverse the conversion, or open the "All conversions" table to see the value in every unit.
Is the Angle Converter free, and does it work offline?
Yes, it is completely free with no sign-up. Once the page has loaded, every conversion runs in your browser, so nothing is sent to our servers. It's one of 71 common and other unit converters on House of Convert.