Convert radian (rad) to gradian (grad).
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Gradian to Radian Converter (grad to rad)
Convert gradian (grad) to radian (rad).Unit Converter · Angle
Quick answer
1 gradian (grad) is approximately equal to 0.01570796 radians (rad). 1 radian (rad) is approximately equal to 63.66198 gradians (grad).
To convert grad to rad, multiply the value in gradians by 0.0157079633. For example, 10 grad = 0.15707963 rad, and 100 grad = 1.57079633 rad.
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Quick reference — gradian to radian
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How to convert gradians to radians
How many radians are in a gradian? 1 gradian is about 0.01570796 radians. This free grad to rad converter and gradian to radian calculator gives the answer instantly for any value.
To convert gradian (grad) to radian (rad), multiply the value in gradians by 0.0157079633.
rad = grad × 0.0157079633
- 1
Take the value in gradians
For example, 25 grad.
- 2
Multiply by 0.0157079633
25 × 0.0157079633.
- 3
Read the answer in radians
25 grad = 0.39269908 rad.
Gradian to Radian conversion table
Common values from 1 to 1,000 gradians converted to radians.
| Gradian (grad) | Radian (rad) |
|---|---|
| 1 grad | 0.01570796 rad |
| 2 grad | 0.03141593 rad |
| 3 grad | 0.04712389 rad |
| 4 grad | 0.06283185 rad |
| 5 grad | 0.07853982 rad |
| 6 grad | 0.09424778 rad |
| 7 grad | 0.10995574 rad |
| 8 grad | 0.12566371 rad |
| 9 grad | 0.14137167 rad |
| 10 grad | 0.15707963 rad |
| 15 grad | 0.23561945 rad |
| 20 grad | 0.31415927 rad |
| 25 grad | 0.39269908 rad |
| Gradian (grad) | Radian (rad) |
|---|---|
| 30 grad | 0.4712389 rad |
| 40 grad | 0.62831853 rad |
| 50 grad | 0.78539816 rad |
| 60 grad | 0.9424778 rad |
| 70 grad | 1.09955743 rad |
| 75 grad | 1.17809725 rad |
| 80 grad | 1.25663706 rad |
| 90 grad | 1.41371669 rad |
| 100 grad | 1.57079633 rad |
| 250 grad | 3.92699082 rad |
| 500 grad | 7.85398163 rad |
| 1,000 grad | 15.70796327 rad |
About gradians and radians
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.
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.
grad to rad: common questions
- How many radians are in 1 gradian?
- 1 gradian (grad) is approximately equal to 0.01570796 radians (rad). In short: 1 grad ≈ 0.01570796 rad.
- How do I convert gradians to radians?
- To convert grad to rad, multiply the value in gradians by 0.0157079633. For example, 5 grad = 0.07853982 rad.
- How do I convert radians to gradians?
- Use the Radian to Gradian converter, which applies the exact reverse factor.
- What is 10 grad in rad, and what is 100 grad?
- 10 grad = 0.15707963 rad, and 100 grad = 1.57079633 rad. The table above lists more values from 1 to 1,000.
- Is this grad to rad 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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