HomeAngleDegrees to Gradians

Degrees to Gradians Converter

Convert surveying and engineering angles from degrees to gradians (gon).

Online Converter

Convert Degree to Gradian

1.111111

Conversion Formula

gon = ° × 1.111111111

1° in every angle unit

Tap a unit to make it the target of the converter above.

About degrees to gradians conversion

Degrees divide a full circle into 360 parts, while gradians divide it into 400 parts. A right angle is 90 degrees or 100 gradians, making the conversion factor exactly 10/9 gradians per degree. Gradians, also called gon, are used in some surveying and engineering workflows.

1° = 1.111111 gon
1 gon = 0.9°
gon = ° × 1.111111111

How to use this converter

  1. 1

    Enter a value

    Type a number into the From box. It starts at 1 so you can see the basic ratio straight away. Thousands separators such as 1,250.5 are accepted.

  2. 2

    Choose your units

    This page opens with its own units selected. Use either dropdown to pick any other unit in the category, or tap a unit in the all-units list to make it the target.

  3. 3

    Read the result

    The answer updates as you type and the matching formula is shown underneath. There is no Convert button to press.

  4. 4

    Swap, copy or clear

    Swap reverses the direction, Copy Result copies a line such as 1 km = 0.621371 mi, and Clear empties the input so you can start again.

Supported formats

Input

  • Supported
    Whole numbers25
  • Supported
    Decimal numbers2.75

    Use a dot as the decimal separator.

  • Supported
    Negative numbers-40

    Calculated for every unit. Quantities such as length or weight are normally positive, while temperatures can be negative.

  • Supported
    Thousands separators1,250.5

    Commas must group digits in threes. 1,234 is read as one thousand two hundred thirty-four.

  • Supported
    Scientific notation1.5e6

    Useful for very large or very small values (1.5e6 = 1,500,000).

  • Not supported
    Comma as decimal mark2,5

    Type 2.5 instead.

  • Not supported
    Fractions1/2

    Type 0.5 instead.

  • Not supported
    Numbers with unit text5 km

    Enter only the number and choose the unit from the dropdown.

Output

Results use US English formatting (1,234.56) and show up to 6 decimal places with trailing zeros removed. Very small results appear in scientific notation, such as 9.0949e-13, instead of rounding to zero.

Units available in this converter

  • Degree (°)
  • Radian (rad)
  • Gradian (gon)
  • Arc Minute (′)
  • Arc Second (″)

Quick reference tables

Common values for the units currently selected above, in both directions.

Degree to Gradian
°gon
00
3033.333333
4550
6066.666667
90100
180200
270300
360400
Gradian to Degree
gon°
00
3027
4540.5
6054
9081
180162
270243
360324

Worked examples

A 45 degree angle

45°50 gon
45 × 1.111111111 = 50

A right angle

90°100 gon
90 × 1.111111111 = 100

A straight angle

180°200 gon
180 × 1.111111111 = 200

A full turn

360°400 gon
360 × 1.111111111 = 400

Good to know and limitations

Tips

  • Multiply degrees by 10/9 to convert to gradians.
  • A right angle is 90° or 100 gon; a full turn is 360° or 400 gon.
  • Angles are not wrapped to one turn. 450° converts to about 7.853982 rad and is not reduced to 90°.
  • Degrees-minutes-seconds notation such as 40°26′46″ must be entered as a decimal value.
  • Results show up to 6 decimal places. Values are not rounded during calculation, and a non-zero result that would display as 0 is shown in scientific notation.

Frequently asked questions

What is 1° in gon?

1 Degree (°) equals 1.111111 Gradian (gon).

How do I convert Degree to Gradian by hand?

Use gon = ° × 1.111111111. For example, 45° = 50 gon.

What is 1 gon in °?

1 Gradian (gon) equals 0.9 Degree (°). Use the swap button to convert in this direction.

ToolSquare

Need another conversion?

Explore more unit converters for everyday calculations.

Browse Converters