Convert gradian (grad) to radian (rad).
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Radian to Gradian Converter (rad to grad)
Convert radian (rad) to gradian (grad).Unit Converter · Angle
Quick answer
1 radian (rad) is approximately equal to 63.66198 gradians (grad). 1 gradian (grad) is approximately equal to 0.01570796 radians (rad).
To convert rad to grad, multiply the value in radians by 63.6619772368. For example, 10 rad = 636.61977237 grad, and 100 rad = 6,366.19772368 grad.
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Quick reference — radian to gradian
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How to convert radians to gradians
How many gradians are in a radian? 1 radian is about 63.66198 gradians. This free rad to grad converter and radian to gradian calculator gives the answer instantly for any value.
To convert radian (rad) to gradian (grad), multiply the value in radians by 63.6619772368.
grad = rad × 63.6619772368
- 1
Take the value in radians
For example, 25 rad.
- 2
Multiply by 63.6619772368
25 × 63.6619772368.
- 3
Read the answer in gradians
25 rad = 1,591.54943092 grad.
Radian to Gradian conversion table
Common values from 1 to 1,000 radians converted to gradians.
| Radian (rad) | Gradian (grad) |
|---|---|
| 1 rad | 63.66197724 grad |
| 2 rad | 127.32395447 grad |
| 3 rad | 190.98593171 grad |
| 4 rad | 254.64790895 grad |
| 5 rad | 318.30988618 grad |
| 6 rad | 381.97186342 grad |
| 7 rad | 445.63384066 grad |
| 8 rad | 509.29581789 grad |
| 9 rad | 572.95779513 grad |
| 10 rad | 636.61977237 grad |
| 15 rad | 954.92965855 grad |
| 20 rad | 1,273.23954474 grad |
| 25 rad | 1,591.54943092 grad |
| Radian (rad) | Gradian (grad) |
|---|---|
| 30 rad | 1,909.8593171 grad |
| 40 rad | 2,546.47908947 grad |
| 50 rad | 3,183.09886184 grad |
| 60 rad | 3,819.71863421 grad |
| 70 rad | 4,456.33840657 grad |
| 75 rad | 4,774.64829276 grad |
| 80 rad | 5,092.95817894 grad |
| 90 rad | 5,729.57795131 grad |
| 100 rad | 6,366.19772368 grad |
| 250 rad | 15,915.4943092 grad |
| 500 rad | 31,830.9886184 grad |
| 1,000 rad | 63,661.9772368 grad |
About radians and gradians
Radian (rad)
A radian (rad) is the angle at the center of a circle that cuts off an arc as long as the radius. A full turn is 2π radians, so 180° = π rad.
Gradian (grad)
A gradian (grad or gon) is 1/400 of a full turn, so a right angle is 100 grad. It is used in some surveying work.
rad to grad: common questions
- How many gradians are in 1 radian?
- 1 radian (rad) is approximately equal to 63.66198 gradians (grad). In short: 1 rad ≈ 63.66198 grad.
- How do I convert radians to gradians?
- To convert rad to grad, multiply the value in radians by 63.6619772368. For example, 5 rad = 318.30988618 grad.
- How do I convert gradians to radians?
- To convert grad to rad, divide the value in gradians by 63.6619772368. Or open the Gradian to Radian converter, which does it for you.
- What is 10 rad in grad, and what is 100 rad?
- 10 rad = 636.61977237 grad, and 100 rad = 6,366.19772368 grad. The table above lists more values from 1 to 1,000.
- Is this rad to grad converter accurate?
- Yes. It uses the exact conversion factor and shows results to as many as 8 decimal places, so you can rely on it for study, work and everyday measuring.
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