Convert Radians to Gradians
Enter a value in radians to see it in gradians. The answer, a worked example and conversion charts are below.
What is a radian?
Definition: The SI unit of angle, where one full rotation equals 2π radians.
Current use: Used throughout calculus, physics, and engineering.
What is a 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.
Radians to Gradians Conversion Table
| Radians [rad] | Gradians [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 |
Radians to Gradians Chart (1 to 100)
- 1 rad 63.662 grad
- 2 rad 127.324 grad
- 3 rad 190.986 grad
- 4 rad 254.648 grad
- 5 rad 318.31 grad
- 6 rad 381.972 grad
- 7 rad 445.634 grad
- 8 rad 509.296 grad
- 9 rad 572.958 grad
- 10 rad 636.62 grad
- 11 rad 700.282 grad
- 12 rad 763.944 grad
- 13 rad 827.606 grad
- 14 rad 891.268 grad
- 15 rad 954.93 grad
- 16 rad 1018.59 grad
- 17 rad 1082.25 grad
- 18 rad 1145.92 grad
- 19 rad 1209.58 grad
- 20 rad 1273.24 grad
- 25 rad 1591.55 grad
- 30 rad 1909.86 grad
- 35 rad 2228.17 grad
- 40 rad 2546.48 grad
- 45 rad 2864.79 grad
- 50 rad 3183.1 grad
- 55 rad 3501.41 grad
- 60 rad 3819.72 grad
- 65 rad 4138.03 grad
- 70 rad 4456.34 grad
- 75 rad 4774.65 grad
- 80 rad 5092.96 grad
- 85 rad 5411.27 grad
- 90 rad 5729.58 grad
- 95 rad 6047.89 grad
- 100 rad 6366.2 grad
How to Convert Radians to Gradians
1 grad = 0.0157079633 rad
Worked example: 25 rad × 63.6619772368 = 1591.55 grad.
Source: BIPM SI Brochure, 9th edition (the radian).
Gradians to Radians Conversion Table
| Gradians [grad] | Radians [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 |
Quick Estimate
For a quick mental estimate, 1 rad is about 64 grad, and 1 grad is about 0.016 rad. 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 gradians are in a radian?
1 radian (rad) equals 63.6619772368 gradians (grad).
How many radians are in a gradian?
1 gradian (grad) equals 0.0157079633 radians (rad).
How do I convert radians to gradians?
Multiply the value in rad by 63.6619772368 to get grad. To go the other way, multiply grad by 0.0157079633.
What is 10 rad in gradians?
10 rad = 636.6197723676 grad.
What is 100 rad in gradians?
100 rad = 6366.1977236758 grad.
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