Angle Converter
Angle measures rotation, or the opening between two lines. The SI unit is the radian; a full turn is 2π radians, or 360 degrees. A degree divides into 60 arcminutes and 3,600 arcseconds, and a gradian divides a right angle into 100 equal parts.
1 Degree = 0.01745329252 Radian
How to convert Degree to Radian
One Degree equals 0.01745329252 Radian, so multiply any value in ° by 0.01745329252 to get rad. To convert back, divide by 0.01745329252 — or multiply by 57.29577951.
rad = ° × 0.01745329252
Example: 25 ° × 0.01745329252 = 0.436332313 rad.
Degree to Radian table
| Degree (°) | Radian (rad) |
|---|---|
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 3 | 0.05235987756 |
| 4 | 0.06981317008 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 15 | 0.2617993878 |
| 20 | 0.3490658504 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 75 | 1.308996939 |
| 100 | 1.745329252 |
| 250 | 4.36332313 |
| 500 | 8.72664626 |
| 1,000 | 17.45329252 |
Radian to Degree table
| Radian (rad) | Degree (°) |
|---|---|
| 1 | 57.29577951 |
| 2 | 114.591559 |
| 3 | 171.8873385 |
| 4 | 229.1831181 |
| 5 | 286.4788976 |
| 10 | 572.9577951 |
| 15 | 859.4366927 |
| 20 | 1,145.91559 |
| 25 | 1,432.394488 |
| 50 | 2,864.788976 |
| 75 | 4,297.183463 |
| 100 | 5,729.577951 |
| 250 | 14,323.94488 |
| 500 | 28,647.88976 |
| 1,000 | 57,295.77951 |
Angle units at a glance
All 6 units this converter supports, each expressed in Degree (°) and the other way round.
| Unit | Symbol | 1 unit in ° | 1 ° in unit |
|---|---|---|---|
| Degree | ° | 1 | 1 |
| Radian | rad | 57.29577951 | 0.01745329252 |
| Gradian | gon | 0.9 | 1.111111111 |
| Arcminute | ' | 0.01666666667 | 60 |
| Arcsecond | " | 0.0002777777778 | 3,600 |
| Turn | tr | 360 | 0.002777777778 |
Popular conversions
Where angle conversions are used
Geometry and trigonometry, navigation and surveying, astronomy, engineering drawings, and programming, where most maths libraries expect radians.
Frequently asked questions
What is 1 Degree in Radian?
1 Degree (°) is 0.01745329252 Radian (rad).
What is 1 Radian in Degree?
1 Radian (rad) is 57.29577951 Degree (°).
How do I convert Degree to Radian?
Multiply the value in Degree by 0.01745329252. For example, 5 ° × 0.01745329252 = 0.0872664626 rad. To go the other way, divide by 0.01745329252.
How many units does the angle converter support?
It converts between 6 units: Degree, Radian, Gradian, Arcminute, Arcsecond, Turn.
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Figures on this page are calculated with the same conversion factors as the converter above and shown to up to 10 significant figures. See our disclaimer before relying on a result in a professional or safety-critical context.