Gradian to Radian Converter
Convert Gradian (gon) to Radian (rad) instantly. 1 gon = 0.015708 rad.
Angle Converter
14 units available
1 gon = 0.015708 rad
Formula:
rad = gon × 0.0157079633With your value: 1 gon = 0.01570796 rad
Other Gradian to Radian conversions
Gradian to Radian Conversion Table
| Gradian (gon) | Radian (rad) |
|---|---|
| 0.5 | 0.007854 |
| 1 | 0.015708 |
| 2 | 0.031416 |
| 5 | 0.07854 |
| 10 | 0.15708 |
| 15 | 0.235619 |
| 20 | 0.314159 |
| 25 | 0.392699 |
| 50 | 0.785398 |
| 100 | 1.570796 |
| 250 | 3.926991 |
| 500 | 7.853982 |
| 1000 | 15.707963 |
Radian to Gradian Conversion Table
| Radian (rad) | Gradian (gon) |
|---|---|
| 0.5 | 31.830989 |
| 1 | 63.661977 |
| 2 | 127.323954 |
| 5 | 318.309886 |
| 10 | 636.619772 |
| 15 | 954.929659 |
| 20 | 1,273.239545 |
| 25 | 1,591.549431 |
| 50 | 3,183.098862 |
| 100 | 6,366.197724 |
| 250 | 15,915.494309 |
| 500 | 31,830.988618 |
| 1000 | 63,661.977237 |
Where these values come from
Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.
Gradian (gon)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Radian (rad)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
How to Convert Gradian to Radian
To convert from Gradian (gon) to Radian (rad), multiply the value by 0.0157079633.
Formula: rad = gon × 0.0157079633
Reverse: gon = rad × 63.6619772368
Step-by-Step Example
- Start with your value in Gradian. For example: 5 gon
- Multiply by the conversion factor: 5 x 0.0157079633
- The result is: 0.07854 rad
About Gradian
The gradian (gon) is a unit of plane angle. One gradian equals 0.9 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
Common uses: angle calculations, engineering and science, education.
About Radian
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
Fun Fact: A full circle contains exactly 2π radians.
Common uses: mathematics, physics, engineering.
Frequently Asked Questions
How many Radian are in 1 Gradian?
There are exactly 0.0157079633 Radian in 1 Gradian. This means the conversion factor from Gradian to Radian is 0.0157079633.
What is the formula to convert Gradian to Radian?
The formula to convert Gradian to Radian is: rad = gon × 0.0157079633. For example, to convert 10 Gradian to Radian, you would multiply 10 by 0.0157079633.
What is a Gradian?
The gradian (gon) is a unit of plane angle. One gradian equals 0.9 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
What is a Radian?
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
What are the common uses of Gradian?
The Gradian is commonly used in angle calculations, engineering and science, education.
Related Angle Conversions
Cite this page
UnitConvertLab. (2026). Gradian to Radian converter. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/gradian-to-radian