Radians to Gradians (rad to grad) Converter
1 radian (rad) = 63.662 gradians (grad). To convert radians to gradians, multiply by 63.662: 25 rad × 63.662 = 1,591.55 grad.
Quick facts
- 1 rad = 63.662 grad
- 1 grad = 0.015708 rad
- Formula: grad = rad × 63.662
- Quick estimate: multiply by about 64
How to convert radians to gradians
- Take the value in radians.
- Multiply it by 63.662 (the number of gradians in one radian).
- Round the result to the precision you need.
Worked example: 25 rad × 63.662 = 1591.55 grad.
To convert gradians back to radians, multiply by 0.015708, or divide by 63.662.
Source: BIPM SI Brochure, 9th edition (the radian).
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 |
rad to grad chart from 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
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 |
Radians vs Gradians
| Radian | Gradian | |
|---|---|---|
| Symbol | rad | grad |
| Equals | 1 rad = 63.662 grad | 1 grad = 0.015708 rad |
What is a radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
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.
Frequently asked questions
How many gradians are in a radian?
There are 63.662 gradians in 1 radian (1 rad = 63.6619772368 grad).
How many radians are in a gradian?
There are 0.015708 radians in 1 gradian (1 grad = 0.0157079633 rad).
How do I convert radians to gradians?
Multiply the number of radians by 63.662. For example, 10 rad × 63.662 = 636.62 grad. To convert back, multiply by 0.015708.
What is 10 rad in gradians?
10 rad = 636.62 grad.
What is 100 rad in gradians?
100 rad = 6,366.2 grad.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
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