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Radian to Gradian Converter
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Radian to Gradian Formula
Conversion explanation: Multiply the value in Radian by 63.6619772368 to get the equivalent value in Gradian.
Popular angle unit conversions
What is Radian to Gradian Converter
A radian to gradian converter transforms angle values from radians (rad) to gradians (gon). It uses the standard mathematical relationship where pi radians equals 200 gradians, making it simple to switch between trigonometric systems. For related calculations, you can also check our degree to radian conversion tool.
Definitions of Radian and Gradian
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. For related unit metrics, you can use our radian to degree conversion tool.
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. If you need to make other calculations, see our degree to gradian conversion tool.
How to Convert Radian to Gradian
To convert a value from radians to gradians, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 radians to gradians. Using the conversion steps:
- Identify the multiplier factor:
63.6619772368. - Multiply 5 by the factor:
5 × 63.6619772368 = 318.3098861838. - Result: 5 radians is equal to 318.3098861838 gradians.
Radian to Gradian Conversion Table
The table below provides quick reference conversions for common values from radians to gradians:
| Radian [rad] | Gradian [grad] |
|---|---|
| 0.01 rad | 0.6366197724 grad |
| 0.1 rad | 6.3661977237 grad |
| 1 rad | 63.6619772368 grad |
| 2 rad | 127.3239544735 grad |
| 3 rad | 190.9859317103 grad |
| 4 rad | 254.647908947 grad |
| 5 rad | 318.3098861838 grad |
| 6 rad | 381.9718634205 grad |
| 7 rad | 445.6338406573 grad |
| 8 rad | 509.2958178941 grad |
| 9 rad | 572.9577951308 grad |
| 10 rad | 636.6197723676 grad |
| 20 rad | 1273.2395447352 grad |
| 30 rad | 1909.8593171027 grad |
| 50 rad | 3183.0988618379 grad |
| 100 rad | 6366.1977236758 grad |
| 500 rad | 31830.9886183791 grad |
| 1000 rad | 63661.9772367581 grad |