Radians to Gradians
Type a value in Radians and get the result in Gradians, calculated exactly.
90 Radians ≈ 5,729.577951 Gradians
Conventional factorRounded for display to about 10 significant digits.
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Range -50 – 100 rad = -3,183.1 – 6,366.2 gon
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Formula
gon = rad × 63.6619772368
To convert Radians to Gradians, multiply the value by 63.6619772368.
Worked examples
- 0 rad × 63.6619772368 = 0 gon
- 90 rad × 63.6619772368 ≈ 5,729.577951 gon
- 100 rad × 63.6619772368 ≈ 6,366.197724 gon
This factor rests on a conventional or rounded value.
Conversion table
| Radians (rad) | Gradians (gon) |
|---|---|
| 1 | ≈ 63.66198 |
| 5 | ≈ 318.3099 |
| 10 | ≈ 636.6198 |
| 15 | ≈ 954.9297 |
| 30 | ≈ 1,909.859 |
| 45 | ≈ 2,864.789 |
| 60 | ≈ 3,819.719 |
| 90 | ≈ 5,729.578 |
| 120 | ≈ 7,639.437 |
| 135 | ≈ 8,594.367 |
| 180 | ≈ 11,459.16 |
| 270 | ≈ 17,188.73 |
| 360 | ≈ 22,918.31 |
Values marked ≈ are rounded; the rest are exact.
Reverse table: Gradians to Radians
| Gradians (gon) | Radians (rad) |
|---|---|
| 1 | ≈ 0.01570796 |
| 5 | ≈ 0.07853982 |
| 10 | ≈ 0.1570796 |
| 15 | ≈ 0.2356194 |
| 30 | ≈ 0.4712389 |
| 45 | ≈ 0.7068583 |
| 60 | ≈ 0.9424778 |
| 90 | ≈ 1.413717 |
| 120 | ≈ 1.884956 |
| 135 | ≈ 2.120575 |
| 180 | ≈ 2.827433 |
| 270 | ≈ 4.24115 |
| 360 | ≈ 5.654867 |
Unit definitions
- Radians rad
- The SI unit of angle: 180/π degrees, about 57.29578°.
- Gradians gon
- One 400th of a full turn: exactly 0.9 degrees. Also called gon.
Questions people ask
Radians to Gradians: what is the conversion factor?
One rad is ≈ 63.66197724 gon.
How do I convert Radians to Gradians?
Use the formula above. For example, 90 rad = ≈ 5,729.577951 gon.
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.