Convert gradians to radians
1 gradian equals 0.015707963 radians. Enter a value below to convert instantly.
Multiply the number of gradians by 0.0157079632679 to get radians. How this is calculated
Need the other direction? Convert radian to gradian →
Formula
Multiply the number of gradians by 0.0157079632679 to get radians.
Step by step
- Start with 1 grad.
- Multiply by the conversion factor 0.0157079632679.
- 1 × 0.0157079632679 = 0.015707963 rad.
Gradians to Radians conversion table
| Gradians (grad) | Radians (rad) |
|---|---|
| 1 | 0.015707963 |
| 5 | 0.078539816 |
| 10 | 0.15707963 |
| 30 | 0.4712389 |
| 45 | 0.70685835 |
| 60 | 0.9424778 |
| 90 | 1.4137167 |
| 180 | 2.8274334 |
| 360 | 5.6548668 |
Convert Gradian to other angle units
1 grad expressed in every other angle unit on this site.
- Radian rad 0.015707963
- Degree ° 0.9
- Gradian grad 1
- Milliradian mrad 15.707963
- Microradian µrad 15,707.963
- Arcminute ′ 54
- Arcsecond ″ 3,240
- Milliarcsecond mas 3,240,000
- Revolution rev 0.0025
- Right Angle ∟ 0.01
- Sextant sextant 0.015
- Sign sign 0.03
- Octant octant 0.02
- Point (compass) pt 0.08
- Mil (NATO) mil 16
- Mil (Soviet) mil (SU) 15
- Mil (Sweden) streck 15.75
- Binary Degree brad 0.64
About the gradian
The gradian (grad) is a Other unit of angle. A right angle divided into 100 parts — used in European surveying.
About the radian
The radian (rad) is a SI unit of angle. The angle subtending an arc equal in length to the radius.
Where this conversion is used
Converting gradians to radians comes up when geometry, navigation, engineering drawings, and programming.
Related conversions
Frequently asked questions
How many radians are in a gradian?
One gradian equals 0.015707963 radians.
How do you convert gradians to radians?
Multiply the number of gradians by 0.0157079632679 to get radians.
What is 1 radian in gradians?
One radian equals 63.661977 gradians.
When would I convert gradians to radians?
This conversion is common when geometry, navigation, engineering drawings, and programming.
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.