Gradian (grad)
A gradian (gon) divides a right angle into 100 equal parts — 400 gradians equal a full circle.
Gradians appear in some European surveying tools and military angle notation.
Gradian to Radian
Convert gradian to radian instantly. Type in either field — results update live.
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Angle Gradian Radian
1 gradian = 0.0157079633 radians
Unit
Unit
Conversion table
Selected grad values converted to rad using the exact factor from this tool.
| grad | rad |
|---|---|
| 0.01 | 0.0001570796 |
| 0.1 | 0.0015707963 |
| 1 | 0.0157079633 |
| 2 | 0.0314159265 |
| 3 | 0.0471238898 |
| 5 | 0.0785398163 |
| 10 | 0.1570796327 |
| 20 | 0.3141592654 |
| 50 | 0.7853981634 |
| 100 | 1.5707963268 |
| 1,000 | 15.7079632679 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 grad = 0.0157079633 rad
1 rad = 63.6619772368 grad
To convert gradian to radian, multiply by 0.0157079633.
To convert radian to gradian, multiply by 63.6619772368.
Example: convert 10 grad to rad
10 × 0.0157079633 = 0.1570796327 rad
About these units
Short background on the units used in this conversion.
Radian (rad)
A radian is the SI unit of angle — the angle subtended when arc length equals radius, about 57.3 degrees.
Radians appear in trigonometry, physics formulas, and programming math libraries.
Frequently asked questions
How many radians are in one gradian?
One gradian equals 0.0157079633 radians. Multiply your gradians value by 0.0157079633 to convert to radians.
What is the conversion formula?
rad = grad × 0.0157079633The reverse is
grad = rad × 63.6619772368, using the same exact factors as this converter.Is this Gradian to Radian converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.