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Gradians to Degrees Converter

To convert gradians to degrees, use deg = gon ÷ 1.1111111111. This Gradians to Degrees page gives a calculator, formula, table, and worked example for gon to deg. It also explains the gradian to degree relationship so you can convert gradians to degrees quickly and check the result.

Use this page to convert gradians to degrees, compare gon to deg, and check the gradian to degree conversion with a formula, examples, and a reference table.

Convert gradians to degrees

Result: 1 Gradian = 0.9 Degree

Explain this result

The calculator converts 1 Gradian to Degree and formats the result as 0.9 Degree.

  1. 1 Gradian x 0.0157079633 = 0.0157079633 Radian.
  2. 0.0157079633 Radian / 0.0174532925 = 0.9 Degree.
  3. The direct relationship is 1 Gradian = 0.9 Degree.

Formula

1 gon = 0.9 deg

Gradians to Degrees Formula

deg = gon ÷ 1.1111111111
gon = deg × 1.1111111111
1 gon = 0.9 deg
1 deg = 1.1111111111 gon

Gradians to Degrees Example

Example: convert 1 gradians to degrees

Formula: deg = gon ÷ 1.1111111111

Calculation: 1 ÷ 1.1111111111 = 0.9 -> 1 gradians = 0.9 degrees

Result: 1 gradians = 0.9 degrees

Gradians to Degrees Conversion Table

Gradians (gon)Degrees (deg)
0.01 gon0.009 deg
0.1 gon0.09 deg
1 gon0.9 deg
2 gon1.8 deg
5 gon4.5 deg
10 gon9 deg
12 gon10.8 deg
50 gon45 deg
100 gon90 deg
200 gon180 deg

When this angle conversion is useful

  • Switching between degrees and radians for math, spreadsheets, and code.
  • Checking navigation, surveying, graphics, machining, and geometry references.
  • Converting small angular units such as arc minutes and arc seconds when supported.

Rounding angle results

  • Keep more digits when small angular changes affect distance or alignment.
  • Radians often involve pi, so decimal approximations can accumulate error.
  • Use the source convention for surveying, navigation, or coordinate work.

Angle conversion mistakes

  • Entering degrees into a function that expects radians.
  • Reading arc minutes or arc seconds as time units.
  • Rounding small angles too much before using trigonometric functions.

What is a gradian?

The symbol for gradian is gon.

gradian is a angle unit supported by this converter. The symbol for gradian is gon.

Gradians are used when comparing angle values in calculators, reference tables, and technical notes.

This page uses the angle conversion factor stored for gradian to keep results consistent across the calculator and table.

What is a degree?

The symbol for degree is deg.

A degree is an angle unit based on dividing a full circle into 360 equal parts.

It is used for geometry, navigation, maps, surveying, compass headings, graphics, and everyday angle measurements.

1 degree equals pi divided by 180 radians, and 360 degrees make a full circle.

Gradians to Degrees FAQ

How do you convert gradian to degree?

To convert gradians to degrees, use deg = gon ÷ 1.1111111111. This is the main gon to deg formula used by the calculator and table.

What is 1 gradian in degree?

1 gon equals 0.9 deg.

How many gradians are in 1 degree?

1 deg equals 1.1111111111 gon.

What does gon to deg mean?

gon to deg is the abbreviated form of gradian to degree. It uses gon for gradian and deg for degree.

More angle conversions

Reverse conversion

  • degrees to gradians

Convert other units to degrees

  • radians to degrees
  • arcminutes to degrees
  • arcseconds to degrees

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