Use this free, accurate gradian (gon) to radian calculator to convert between Gradian (Gon) (grad) and Radian (rad). Includes live instant results, complete mathematical formulas, conversion tables, and step-by-step examples.
0.0157079633 Radian
1 grad is equal to 0.015708 rad.
rad = grad × 0.01570796
angle Converters
To convert from Gradian (Gon) to Radian, multiply the value in Gradian (Gon) by 0.015708 (or use the formula: rad = grad × 0.015708).
Take your initial measurement in Gradian (Gon) (grad). For instance, let's convert 1 grad.
Multiply by the standard conversion factor (0.015708).
The final converted measurement equals 0.015708 Radian (rad).
Compare standard reference values and common conversion benchmarks.
| Gradian (Gon) (grad) | Radian (rad) | Action |
|---|---|---|
| 1 grad | 0.01571 rad | |
| 2 grad | 0.03142 rad | |
| 3 grad | 0.04712 rad | |
| 5 grad | 0.07854 rad | |
| 10 grad | 0.15708 rad | |
| 15 grad | 0.23562 rad | |
| 20 grad | 0.31416 rad | |
| 25 grad | 0.3927 rad | |
| 50 grad | 0.7854 rad | |
| 75 grad | 1.1781 rad | |
| 100 grad | 1.5708 rad | |
| 250 grad | 3.92699 rad | |
| 500 grad | 7.85398 rad | |
| 1000 grad | 15.70796 rad |
Official standards, measurement systems, and real-world everyday applications.
A gradian (also called a gon) is a decimal angular unit equal to 1/400 of a full circle (0.9 degrees).
Common Practical Uses
A radian is the SI base unit for measuring angles, where 2π radians equal a full 360-degree circle.
Common Practical Uses
Calculate from Radian (rad) back to Gradian (Gon) (grad).
Frequently used unit conversions in this category:
Explore other measurement and calculation tools:
There are 0.015708 radians in 1 gradians. Exactly 1 grad is equal to 0.015708 rad.
The conversion formula is: Radian = rad = grad × 0.01570796. Applying this to 1 grad gives: 1 × 0.015708 = 0.015708 rad.
To convert in reverse from radians to gradians, multiply by the inverse factor: 1 rad = 63.661977 grad. Alternatively, divide your Radian amount by 0.015708.
To calculate in your head, round the conversion multiplier (0.02) to the nearest easy whole or decimal number.
Gradian (Gon) (grad) belongs to the Metric Surveying system, commonly used in Land surveying in Europe, Civil engineering, Tunnel mining. In comparison, Radian (rad) is part of the Metric (SI) system, frequently applied in Calculus, Trigonometry, Physics.
Key milestones include: 1 grad = 0.015708 rad, 5 grad = 0.0785 rad, 10 grad = 0.1571 rad, 50 grad = 0.7854 rad, and 100 grad = 1.5708 rad.