Convert gradians to radians
1 gon = 0.0157079632679 rad (rounded to 12 significant digits; use the slider below for more).
0.015 707 963 267 9rad
As a fraction: 1570796326794896619231321691639751442098584699687552910487472296153908203143/100000000000000000000000000000000000000000000000000000000000000000000000000000
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1 gon = 0.0157079632679 rad
Show this value in all 16 angle units
- Radians rad 0.015 707 963 267 9
- Milliradians mrad 15.707 963 267 9
- Microradians µrad 15 707.963 267 9
- Degrees ° 0.9
- Arcminutes ′ 54
- Arcseconds ″ 3240
- Milliarcseconds mas 3 240 000
- Gradians gon 1
- Turns tr 0.0025
- Quadrants quad 0.01
- Sextants sextant 0.015
- Octants octant 0.02
- Mil (NATO)s mil 16
- Mil (Warsaw Pact)s mil 15
- Compass points pt 0.08
- Hour angles h 0.06
Every row is Gradian (gon) converted through the radian, in exact rational arithmetic.
How to convert gradians to radians
Multiply the number of gradians by 0.0157079632679 to get radians.
Gradian: 400 to a full turn — surveying, mostly in continental Europe.
Gradian to Radian conversion table
| Gradians (gon) | Radians (rad) |
|---|---|
| 1 gon | 0.015 707 963 |
| 2 gon | 0.031 415 927 |
| 3 gon | 0.047 123 89 |
| 5 gon | 0.078 539 816 |
| 10 gon | 0.157 079 63 |
| 20 gon | 0.314 159 27 |
| 25 gon | 0.392 699 08 |
| 50 gon | 0.785 398 16 |
| 100 gon | 1.570 796 3 |
| 250 gon | 3.926 990 8 |
| 500 gon | 7.853 981 6 |
| 1000 gon | 15.707 963 |
Radian to Gradian conversion table
| Radians (rad) | Gradians (gon) |
|---|---|
| 1 rad | 63.661 977 |
| 2 rad | 127.323 95 |
| 3 rad | 190.985 93 |
| 5 rad | 318.309 89 |
| 10 rad | 636.619 77 |
| 20 rad | 1273.2395 |
| 25 rad | 1591.5494 |
| 50 rad | 3183.0989 |
| 100 rad | 6366.1977 |
| 250 rad | 15 915.494 |
| 500 rad | 31 830.989 |
| 1000 rad | 63 661.977 |
Frequently asked
How many radians are in a gradian?
One gradian equals 0.01570796327 radians (gon → rad).
How do you convert gradians to radians?
Multiply the number of gradians by 0.0157079632679 to get radians.
What is 1 rad in gradians?
One radian is 63.66197724 gradians.
What is 10 gon in rad?
10 gon = 0.157 079 63 rad.
What exactly is a gradian?
400 to a full turn — surveying, mostly in continental Europe.