Convert gradians to radians
Convert gradians (gon) to radians (rad). 1 gon = 0.015708 rad, and 1 rad = 63.662 gon.
Gradians to Radians formula
rad = gon × π / 200
Multiply the gradians by π and divide by 200.
Example: To convert 1 gon to radians: 1 × π / 200 = 0.015708 rad.
Quick answers
- What is 1 gon in radians?
- 1 gon = 0.015708 rad
- What is 100 gon in radians?
- 100 gon = 1.5708 rad
Gradians to Radians conversion table
Radians to Gradians table| gradians (gon) | radians (rad) |
|---|---|
| 1 gon | 0.015708 rad |
| 10 gon | 0.15708 rad |
| 50 gon | 0.785398 rad |
| 100 gon | 1.5708 rad |
| 200 gon | 3.14159 rad |
| 300 gon | 4.71239 rad |
| 400 gon | 6.28319 rad |
Frequently asked questions
How many gradians are in a radian?
There are 63.662 gradians in a radian (1 rad = 63.662 gon), so 1 gon = 0.015708 rad.
How do I convert gradians to radians?
Multiply the gradians by π and divide by 200. To convert 1 gon to radians: 1 × π / 200 = 0.015708 rad.
Is the Gradians to Radians conversion exact?
Yes, by definition, but π is irrational, so every result in decimal form is rounded.
What is 1 gon in radians?
1 gon = 0.015708 rad.
How do I convert radians back to gradians?
Use the reverse relationship: 1 rad = 63.662 gon. The Radians to Gradians page has a converter and a full table.
More angle conversions
- Gradians to Degrees
- Degrees to Radians
- Degrees to Gradians
- Radians to Degrees
- Arcminutes to Degrees
- Degrees to Arcminutes
- Arcseconds to Degrees
- Degrees to Arcseconds
- Arcseconds to Arcminutes
- Arcminutes to Arcseconds