How to Convert Gradians to Radians
To convert gradians to radians, divide the value by 63.662.
The Formula
Radians = Gradians ÷ 63.662
Key Fact
1 radian = 63.662 gradians
Tip: To convert radians back to gradians, multiply by 63.662.
Gradians to Radians
Convert gradians (grad) to radians (rad) with formulas, examples, and conversion tables.
grad
rad
1 grad = 0.0157 rad
Full precision:0.01570796 rad
Step-by-Step Solution
To convert 1 gradians to radians, we divide by 63.662 because one radian equals exactly 63.662 gradians.
1 radian = 63.662 gradians
Since there are 63.662 gradians in every radian, we divide our value by this factor:
1 ÷ 63.662 = 0.0157 radians
So 1 gradians = 0.0157 radians.
Quick check: 0.0157 × 63.662 = 1 gradians
Example Conversions
Example 1: 1 grad = 0.0157 rad
1 ÷ 63.662 = 0.0157
1 ÷ 63.662 = 0.0157
Example 2: 5 grad = 0.0785 rad
5 ÷ 63.662 = 0.0785
5 ÷ 63.662 = 0.0785
Example 3: 10 grad = 0.1571 rad
10 ÷ 63.662 = 0.1571
10 ÷ 63.662 = 0.1571
Gradians to Radians Table
| Gradians | Radians |
|---|---|
| 1 grad | 0.0157 rad |
| 2 grad | 0.0314 rad |
| 5 grad | 0.0785 rad |
| 10 grad | 0.1571 rad |
| 20 grad | 0.3142 rad |
| 25 grad | 0.3927 rad |
| 50 grad | 0.7854 rad |
| 100 grad | 1.5708 rad |
| 250 grad | 3.927 rad |
| 500 grad | 7.854 rad |
| 1000 grad | 15.708 rad |
1 Gradian in Other Units
| Unit | 1 grad = |
|---|---|
| Gradians to Degrees | 0.9 ° |
| Gradians to Radians | 0.015708 rad |
| Gradians to Turns | 0.0025 turn |
| Gradians to Arc Minutes | 53.9999 ′ |
| Gradians to Arc Seconds | 3240 ″ |
| Gradians to Milliradians | 15.708 mrad |
| Gradians to Revolutions | 0.0025 rev |
| Gradians to Quadrants | 0.01 quad |
| Gradians to Sextants | 0.015 sext |