Convert degrees, radians, gradians, arcminutes and turns.
| ° | rad |
|---|---|
| 1 | 0.017453293 |
| 5 | 0.087266463 |
| 10 | 0.17453293 |
| 25 | 0.43633231 |
| 50 | 0.87266463 |
| 100 | 1.7453293 |
| 1000 | 17.453293 |
| rad | ° |
|---|---|
| 1 | 57.29578 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 25 | 1,432.3945 |
| 50 | 2,864.789 |
| 100 | 5,729.578 |
| 1000 | 57,295.78 |
| ° | grad |
|---|---|
| 1 | 1.1111111 |
| 5 | 5.5555556 |
| 10 | 11.111111 |
| 25 | 27.777778 |
| 50 | 55.555556 |
| 100 | 111.11111 |
| 1000 | 1,111.1111 |
| turn | ° |
|---|---|
| 1 | 360 |
| 5 | 1,800 |
| 10 | 3,600 |
| 25 | 9,000 |
| 50 | 18,000 |
| 100 | 36,000 |
| 1000 | 360,000 |
| Unit | Symbol | Equals |
|---|---|---|
| Degree | ° | 1 ° = 0.01745329252 rad |
| Radian | rad | base unit |
| Gradian | grad | 1 grad = 0.01570796327 rad |
| Arcminute | ′ | 1 ′ = 0.0002908882087 rad |
| Arcsecond | ″ | 1 ″ = 0.000004848136811 rad |
| Milliradian | mrad | 1 mrad = 0.001 rad |
| Turn (revolution) | turn | 1 turn = 6.283185307 rad |
Convert angles between degrees, radians, gradians, arcminutes, arcseconds, milliradians and full turns. Whether you are solving a trigonometry problem, programming a rotation or reading a survey, the correct unit is one click away.
Rotating machinery? The frequency converter handles RPM and rad/s, and the length converter covers arc lengths.
Most programming languages use radians for trig functions; convert from degrees before calling sin(), cos() or tan().
Work with degrees, arcminutes and arcseconds for coordinates and bearings.
Move between degrees, gradians and turns for CAD, CNC and mechanical work.
180° = π radians ≈ 3.14159 rad, and a full turn is 360° = 2π rad = 400 grad.
One degree is 60 arcminutes and one arcminute is 60 arcseconds, so 1° = 3,600″.
Multiply degrees by π/180 (about 0.0174533). For example, 90° = π/2 ≈ 1.5708 rad.
Multiply radians by 180/π (about 57.29578). For example, 1 rad ≈ 57.2958°.
A gradian (or gon) is 1/400 of a full circle, so a right angle is exactly 100 grad. It is used in some surveying and civil engineering.
There are 3,600 arcseconds in one degree (60 × 60).