Formula.radians = degrees × π ÷ 180.
Relationship.1° = 0.0174533 rad.
Worked example. 90° = 1.571 rad.
Degrees to Radians Converter.
1° = 0.0174533 rad, so 90° = 1.571 rad. Type any value below to convert degrees to radians instantly.
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| ° | rad | grad | ' | " | turn | mrad |
|---|---|---|---|---|---|---|
| 0.09 | 0.0015707963 | 0.1 | 5.4 | 324 | 0.00025 | 1.570796 |
| 0.9 | 0.0157079633 | 1 | 54 | 3240 | 0.0025 | 15.707963 |
| 9 | 0.1570796327 | 10 | 540 | 32400 | 0.025 | 157.079633 |
| 90 | 1.570796 | 100 | 5400 | 324000 | 0.25 | 1570.7963 |
| 900 | 15.707963 | 1000 | 54000 | 3240000 | 2.5 | 15707.9633 |
| 9000 | 157.079633 | 10000 | 540000 | 32400000 | 25 | 157079.6327 |
| 90000 | 1570.7963 | 100000 | 5400000 | 324000000 | 250 | 1570796.3268 |
How to convert degrees to radians
degrees to radians conversion table
| ° | rad |
|---|---|
| 1 | 0.0174532925 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 15 | 0.2617993878 |
| 22.5 | 0.3926990817 |
| 30 | 0.5235987756 |
| 36 | 0.6283185307 |
| 45 | 0.7853981634 |
| 60 | 1.047198 |
| 72 | 1.256637 |
| 90 | 1.570796 |
| 120 | 2.094395 |
| 135 | 2.356194 |
| 144 | 2.513274 |
| 150 | 2.617994 |
| 180 | 3.141593 |
| 210 | 3.665191 |
| 225 | 3.926991 |
| 240 | 4.18879 |
| 270 | 4.712389 |
| 300 | 5.235988 |
| 315 | 5.497787 |
| 330 | 5.759587 |
| 360 | 6.283185 |
| 720 | 12.566371 |
Frequently Asked Questions
How do I convert degrees to radians?
Multiply by π/180 (about 0.0174533). For example, 90° × π/180 = π/2 ≈ 1.5708 radians.
How many radians is 180 degrees?
Exactly π radians, or about 3.14159. A full circle of 360° is 2π radians, and a right angle of 90° is π/2.
Why do I need radians for programming?
Because trigonometric functions expect them.
Math.sin() in JavaScript, math.cos() in Python and their equivalents in nearly every language take radians, so a value in degrees must be multiplied by π/180 before you pass it in — a very common source of wrong results.What is 1 degree in radians?
About 0.0174533 radians. Conversely, 1 radian is roughly 57.296° — a little under a sixth of a full circle.