Convert Gradian to Radian
Enter a value in Gradian to see it instantly in Radian, or use the reverse converter below.
Gradian
Definition: One 400th of a full rotation, so a right angle is 100 gradians.
Current use: Used in some surveying and European engineering contexts.
Radian
Definition: The SI unit of angle, where one full rotation equals 2π radians.
Current use: Used throughout calculus, physics, and engineering.
Gradian to Radian Conversion Table
| 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 |
| 5 grad | 0.0785398163 rad |
| 10 grad | 0.1570796327 rad |
| 20 grad | 0.3141592654 rad |
| 50 grad | 0.7853981634 rad |
| 100 grad | 1.5707963268 rad |
| 1000 grad | 15.7079632679 rad |
How to Convert Gradian to Radian
1 rad = 63.6619772368 grad
Example: convert 1 grad to rad:
Radian to Gradian Conversion Table
| 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 |
| 5 rad | 318.3098861838 grad |
| 10 rad | 636.6197723676 grad |
| 20 rad | 1273.2395447352 grad |
| 50 rad | 3183.0988618379 grad |
| 100 rad | 6366.1977236758 grad |
| 1000 rad | 63661.9772367581 grad |
Quick Estimate
For a quick mental estimate, 1 grad is about 0.016 rad, and 1 rad is about 64 grad. Use the exact calculator above when accuracy matters, such as for money, medicine, engineering or anything you will buy or sell.
Frequently Asked Questions
How many Radian are in 1 Gradian?
1 Gradian (grad) equals 0.0157079633 Radian (rad).
How do I convert Gradian to Radian?
Multiply the value in grad by 0.0157079633 to get rad. To go the other way, multiply rad by 63.6619772368.
What is 10 Gradian in Radian?
10 grad = 0.1570796327 rad.
What is 100 Gradian in Radian?
100 grad = 1.5707963268 rad.
What is a Gradian?
One 400th of a full rotation, so a right angle is 100 gradians. Used in some surveying and European engineering contexts.
What is a Radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
How many Gradian are in 1 Radian?
1 Radian (rad) equals 63.6619772368 Gradian (grad).
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