Gradians to Radians Converter

Convert gradians (gon) to radians (rad) instantly. Angle conversions show up in maths and physics lessons, surveying and navigation.

Result

Radians
0.015708 rad

How to use the gradians to radians converter

  1. Enter the gradians (gon).
  2. The results update as you type, or press Calculate.
  3. Read the radians first, then the supporting figures below it.

Formula

Radians = gradians × 0.0157079633

Worked example

For example, with these inputs:

the calculator returns:

Gradians to Radians table

GradiansRadians
1 gon0.015708 rad
2 gon0.031416 rad
5 gon0.07854 rad
10 gon0.15708 rad
20 gon0.314159 rad
25 gon0.392699 rad
50 gon0.785398 rad
100 gon1.5708 rad
250 gon3.927 rad
500 gon7.854 rad
1,000 gon15.708 rad

About this conversion

Angle conversions show up in maths and physics lessons, surveying and navigation.

Writing the units next to every number while you work is the simplest way to avoid mistakes. If the units do not cancel to leave the one you want, the calculation is set up wrongly.

Unit conversion is simply multiplication by a fixed ratio. The ratio between two units of the same quantity never changes, so once you know it you can convert any value in either direction.

Frequently asked questions

How many radians are in one gradian?

1 gon = 0.015708 rad.

How do I convert gon to rad?

Radians = gradians × 0.0157079633.

Guides for this calculator

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