1 gon = 0.015707957651346 rad
1 Gradian (gon) = 0.015707957651346 Radian (rad).
If you want to reverse convert, use Radian → Gradian. 1 rad = 63.662 gon. You can also explore the full Angle converter page for more cross conversions.
Conversion formula
Gradian to Radian formula: value in rad = value in gon × 0.015707957651346.
Radian to Gradian formula: value in gon = value in rad × 63.662.
How to convert Gradian to Radian
To convert Gradian to Radian, multiply the value in gon by 0.015707957651346. This gives the result in rad.
For example, 1 gon = 0.015707957651346 rad and 10 gon = 0.15707957651346 rad.
What is Gradian?
Gradian (gon): A full turn is 400 gradians and a right angle is 100; used in surveying. 1 gon = 0.9°; 100 gon = 90°.
What is Radian?
Radian (rad): An angle subtending an arc as long as the circle’s radius; a full turn is 2π radians. 1 rad ≈ 57.2958°; 2π rad = 360°.
FAQ
How many radian are in 1 gradian?
There are 0.015707957651346 rad in 1 gon.
Why can conversion results differ slightly?
Check the unit definition and rounding. US and imperial measures can differ; rounding intermediate values can also change the final digits.
How do I convert gradian to radian?
Multiply the value in gon by 0.015707957651346 to get the value in rad.
Gradian → other Angle units
- 1 gradian → degree = 0.9 degree
- 1 gradian → radian = 0.015707957651346 radian
Gradian → Radian Table
The table below shows common values from Gradian to Radian and the reverse direction for quick reference.
| gon | rad | Rounded |
|---|---|---|
| 1 gon | 0.015707957651346 rad | 0.0157 |
| 2 gon | 0.031415915302692 rad | 0.0314 |
| 3 gon | 0.047123872954039 rad | 0.0471 |
| 4 gon | 0.062831830605385 rad | 0.0628 |
| 5 gon | 0.078539788256731 rad | 0.0785 |
| 10 gon | 0.15707957651346 rad | 0.1571 |
| 12 gon | 0.18849549181615 rad | 0.1885 |
| 15 gon | 0.23561936477019 rad | 0.2356 |
| 20 gon | 0.31415915302692 rad | 0.3142 |
| 25 gon | 0.39269894128365 rad | 0.3927 |
| 30 gon | 0.47123872954039 rad | 0.4712 |
| 40 gon | 0.62831830605385 rad | 0.6283 |
| 50 gon | 0.78539788256731 rad | 0.7854 |
| 75 gon | 1.178096823851 rad | 1.1781 |
| 100 gon | 1.5707957651346 rad | 1.5708 |
| 200 gon | 3.1415915302692 rad | 3.1416 |
| 250 gon | 3.9269894128365 rad | 3.9270 |
| 500 gon | 7.8539788256731 rad | 7.8540 |
| 750 gon | 11.78096823851 rad | 11.7810 |
| 1000 gon | 15.707957651346 rad | 15.7080 |
| 2500 gon | 39.269894128365 rad | 39.2699 |
| 5000 gon | 78.539788256731 rad | 78.5398 |
| 10000 gon | 157.07957651346 rad | 157.0796 |
Radian → Gradian Table
| rad | gon | Rounded |
|---|---|---|
| 1 rad | 63.662 gon | 63.6620 |
| 2 rad | 127.324 gon | 127.3240 |
| 3 rad | 190.986 gon | 190.9860 |
| 4 rad | 254.648 gon | 254.6480 |
| 5 rad | 318.31 gon | 318.3100 |
| 10 rad | 636.62 gon | 636.6200 |
| 12 rad | 763.944 gon | 763.9440 |
| 15 rad | 954.93 gon | 954.9300 |
| 20 rad | 1273.24 gon | 1273.2400 |
| 25 rad | 1591.55 gon | 1591.5500 |
| 30 rad | 1909.86 gon | 1909.8600 |
| 40 rad | 2546.48 gon | 2546.4800 |
| 50 rad | 3183.1 gon | 3183.1000 |
| 75 rad | 4774.65 gon | 4774.6500 |
| 100 rad | 6366.2 gon | 6366.2000 |
| 200 rad | 12732.4 gon | 12732.4000 |
| 250 rad | 15915.5 gon | 15915.5000 |
| 500 rad | 31831 gon | 31831.0000 |
| 750 rad | 47746.5 gon | 47746.5000 |
| 1000 rad | 63662 gon | 63662.0000 |
| 2500 rad | 159155 gon | 159155.0000 |
| 5000 rad | 318310 gon | 318310.0000 |
| 10000 rad | 636620 gon | 636620.0000 |
Radian → Gradian
The reverse value is 1 rad = 63.662 gon.