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Gradians to Degrees Converter (gon to °)

1 gon = 0.9 °. Type any value to convert gradians to degrees.

1 gon = 0.9 °

Formula: ° = gon × 0.9

Common values
Decimals
In every unit 7 units
Degree (°) 0.9 °
Radian (rad) 0.01570796327 rad
Gradian (gon) 1 gon
Arcminute (′) 54 ′
Arcsecond (″) 3,240 ″
Turn (tr) 0.0025 tr
NATO mil (mil) 16 mil

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Gradians to degrees table

Formula: ° = gon × 0.9

Gradian (gon)Degree (°)
0.1 gon0.09 °
0.25 gon0.225 °
0.5 gon0.45 °
1 gon0.9 °
2 gon1.8 °
3 gon2.7 °
4 gon3.6 °
5 gon4.5 °
6 gon5.4 °
7 gon6.3 °
8 gon7.2 °
9 gon8.1 °
10 gon9 °
12 gon10.8 °
15 gon13.5 °
20 gon18 °
25 gon22.5 °
30 gon27 °
40 gon36 °
50 gon45 °
60 gon54 °
75 gon67.5 °
100 gon90 °
150 gon135 °
200 gon180 °
250 gon225 °
500 gon450 °
1,000 gon900 °

How to use: Gradians to Degrees

  1. 1 Type the value in gradians.
  2. 2 The result in degrees appears at once – or type in the degrees field to convert back.
  3. 3 Pick a common value, round to fewer decimals or swap the units with one click.
  4. 4 Copy the result, or open “In every unit” to see the value in all units of angle.

About this tool

Gradian (gon) is a unit of angle; 1 gon = 0.01570796327 rad. Degree (°) is a unit of angle; 1 ° = 0.01745329252 rad.

To convert gradians to degrees, multiply the value by 0.9 (° = gon × 0.9). Example: 45 gon = 40.5 °.

Calculated in your browser – nothing you type is sent anywhere.

Frequently asked questions

How do I convert gradians to degrees?

To convert gradians to degrees, multiply the value by 0.9: ° = gon × 0.9. For example 45 gon = 40.5 °.

What is 1 gon in degrees?

1 gon = 0.9 °. The other way round, 1 ° = 1.111111111 gon.

How exact is the result?

The converter uses the official definitions of both units and shows up to 10 significant digits; choose 0–6 decimals to round. Both units are defined exactly in terms of each other, so the factor itself is exact.

Can I convert other units of angle here?

Yes – choose any of the 7 units of angle in the From and To lists, or switch to another measurement at the top.