Angle Converter
Convert between 10 angle units instantly. Enter a value, pick your units and get the result with the formula, a full conversion table and worked examples.
90 ° in all angle units
Updates live as you type. Click a row to set it as the target unit.
| Unit | Symbol | Value |
|---|---|---|
| Arcsecond | ″ | 324,000 |
| Arcminute | ′ | 5,400 |
| Milliradian | mrad | 1,570.8 |
| Mil (NATO) | mil | 1,600 |
| Gradian | gon | 100 |
| Degree | ° | 90 |
| Radian | rad | 1.5708 |
| Sextant | sxt | 1.5 |
| Quadrant | quad | 1 |
| Revolution | rev | 0.25 |
How to Convert Angle Units
An angle measures rotation between two lines. The SI derived unit is the radian (rad); degrees are most common in practice, with 360 degrees in one full revolution.
Every unit on this page is stored as a fixed factor relative to one reference unit, the radian (rad). Converting is a two step multiply and divide:
- Multiply your value by the factor of the source unit to get the value in rad.
- Divide that result by the factor of the target unit.
Degree to Radian conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.0174533 rad |
| 2 ° | 0.0349066 rad |
| 3 ° | 0.0523599 rad |
| 4 ° | 0.0698132 rad |
| 5 ° | 0.0872665 rad |
| 6 ° | 0.10472 rad |
| 7 ° | 0.122173 rad |
| 8 ° | 0.139626 rad |
| 9 ° | 0.15708 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 20 ° | 0.349066 rad |
| 25 ° | 0.436332 rad |
| 30 ° | 0.523599 rad |
| 40 ° | 0.698132 rad |
| 50 ° | 0.872665 rad |
| 75 ° | 1.309 rad |
| 100 ° | 1.74533 rad |
| 250 ° | 4.36332 rad |
| 500 ° | 8.72665 rad |
| 1,000 ° | 17.4533 rad |
Angle Units and Conversion Factors
Value of one unit expressed in rad.
| Unit | Symbol | In rad |
|---|---|---|
| Arcsecond | ″ | 0.000004848136811 |
| Arcminute | ′ | 0.0002908882087 |
| Milliradian | mrad | 0.001 |
| Mil (NATO) | mil | 0.0009817477042 |
| Gradian | gon | 0.01570796327 |
| Degree | ° | 0.01745329252 |
| Radian | rad | 1 |
| Sextant | sxt | 1.047197551 |
| Quadrant | quad | 1.570796327 |
| Revolution | rev | 6.283185307 |
Frequently Asked Questions
What is the SI unit of angle?
The SI unit of angle is the radian (rad). An angle measures rotation between two lines.
How do I convert ° to rad?
To convert degree (°) to radian (rad), multiply the value in ° by 0.0174533. For example, 1 ° = 0.0174533 rad.
How do I convert rad to °?
To convert radian (rad) to degree (°), multiply the value in rad by 57.2958. For example, 1 rad = 57.2958 °.
How do I convert ° to gon?
To convert degree (°) to gradian (gon), multiply the value in ° by 1.11111. For example, 1 ° = 1.11111 gon.
Can I see a value in every angle unit at once?
Yes. Enter a value and choose the source unit; the "all units" table below the converter instantly lists the equivalent in all 10 supported units. Click any row to make it the target unit.
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