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Gradian to Radian Converter
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Gradian to Radian Formula
Conversion explanation: Divide the value in Gradian by 63.661977 to get the equivalent value in Radian.
Popular angle unit conversions
What is Gradian to Radian Converter
A gradian to radian converter changes angle units from gradians (gon) to radians (rad). It applies the standard mathematical factor where 200 gradians equals pi radians, helping users easily transition between angular measurement systems. For related calculations, you can also check our degree to radian conversion tool.
Definitions of Gradian and Radian
What is Gradian?
A gradian is a unit of plane angle measurement equal to 1/400th of a full circle. It is sometimes used in surveying and geodesy as an alternative to degrees. For related unit metrics, you can use our radian to degree conversion tool.
What is Radian?
A radian is the SI derived unit for measuring plane angles. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius. If you need to make other calculations, see our degree to gradian conversion tool.
How to Convert Gradian to Radian
To convert a value from gradians to radians, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 gradians to radians. Using the conversion steps:
- Identify the multiplier factor:
0.0157079633. - Multiply 5 by the factor:
5 × 0.0157079633 = 0.0785398163. - Result: 5 gradians is equal to 0.0785398163 radians.
Gradian to Radian Conversion Table
The table below provides quick reference conversions for common values from gradians to radians:
| Gradian [grad] | Radian [rad] |
|---|---|
| 0.01 grad | 0.0001570796 rad |
| 0.1 grad | 0.0015707963 rad |
| 1 grad | 0.0157079633 rad |
| 2 grad | 0.0314159265 rad |
| 3 grad | 0.0471238898 rad |
| 4 grad | 0.0628318531 rad |
| 5 grad | 0.0785398163 rad |
| 6 grad | 0.0942477796 rad |
| 7 grad | 0.1099557429 rad |
| 8 grad | 0.1256637061 rad |
| 9 grad | 0.1413716694 rad |
| 10 grad | 0.1570796327 rad |
| 20 grad | 0.3141592654 rad |
| 30 grad | 0.471238898 rad |
| 50 grad | 0.7853981634 rad |
| 100 grad | 1.5707963268 rad |
| 500 grad | 7.853981634 rad |
| 1000 grad | 15.7079632679 rad |