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.
Radian to Gradian
Convert radian to gradian instantly. Type in either field — results update live.
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Angle Radian Gradian
1 radian = 63.6619772368 gradians
Unit
Unit
Conversion table
Selected rad values converted to grad using the exact factor from this tool.
| rad | grad |
|---|---|
| 0.01 | 0.6366197724 |
| 0.1 | 6.3661977237 |
| 1 | 63.6619772368 |
| 2 | 127.3239544735 |
| 3 | 190.9859317103 |
| 5 | 318.3098861838 |
| 10 | 636.6197723676 |
| 20 | 1,273.2395447352 |
| 50 | 3,183.0988618379 |
| 100 | 6,366.1977236758 |
| 1,000 | 63,661.9772367581 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 rad = 63.6619772368 grad
1 grad = 0.0157079633 rad
To convert radian to gradian, multiply by 63.6619772368.
To convert gradian to radian, multiply by 0.0157079633.
Example: convert 10 rad to grad
10 × 63.6619772368 = 636.6197723676 grad
About these units
Short background on the units used in this conversion.
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.
Frequently asked questions
How many gradians are in one radian?
One radian equals 63.6619772368 gradians. Multiply your radians value by 63.6619772368 to convert to gradians.
What is the conversion formula?
grad = rad × 63.6619772368The reverse is
rad = grad × 0.0157079633, using the same exact factors as this converter.Is this Radian to Gradian converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.