Degrees to Radians
Type a value in Degrees and get the result in Radians, calculated exactly.
90 Degrees ≈ 1.570796327 Radians
Conventional factorRounded for display to about 10 significant digits.
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Range -50 – 100 ° = -0.872665 – 1.74533 rad
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Formula
rad = ° × 0.01745329252
To convert Degrees to Radians, multiply the value by 0.01745329252.
Worked examples
- 0 ° × 0.01745329252 = 0 rad
- 90 ° × 0.01745329252 ≈ 1.570796327 rad
- 100 ° × 0.01745329252 ≈ 1.745329252 rad
This factor rests on a conventional or rounded value.
Conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | ≈ 0.01745329 |
| 5 | ≈ 0.08726646 |
| 10 | ≈ 0.1745329 |
| 15 | ≈ 0.2617994 |
| 30 | ≈ 0.5235988 |
| 45 | ≈ 0.7853982 |
| 60 | ≈ 1.047198 |
| 90 | ≈ 1.570796 |
| 120 | ≈ 2.094395 |
| 135 | ≈ 2.356194 |
| 180 | ≈ 3.141593 |
| 270 | ≈ 4.712389 |
| 360 | ≈ 6.283185 |
Values marked ≈ are rounded; the rest are exact.
Reverse table: Radians to Degrees
| Radians (rad) | Degrees (°) |
|---|---|
| 1 | ≈ 57.29578 |
| 5 | ≈ 286.4789 |
| 10 | ≈ 572.9578 |
| 15 | ≈ 859.4367 |
| 30 | ≈ 1,718.873 |
| 45 | ≈ 2,578.31 |
| 60 | ≈ 3,437.747 |
| 90 | ≈ 5,156.62 |
| 120 | ≈ 6,875.494 |
| 135 | ≈ 7,734.93 |
| 180 | ≈ 10,313.24 |
| 270 | ≈ 15,469.86 |
| 360 | ≈ 20,626.48 |
Unit definitions
- Degrees °
- One 360th of a full turn.
- Radians rad
- The SI unit of angle: 180/π degrees, about 57.29578°.
Questions people ask
Degrees to Radians: what is the conversion factor?
One ° is ≈ 0.01745329252 rad.
How do I convert Degrees to Radians?
Use the formula above. For example, 90 ° = ≈ 1.570796327 rad.
Is the conversion exact?
Very nearly. One of the units is based on a conventional or rounded value, so treat the result as a close approximation.
Factors checked 19 October 2026.