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Degrees to Gradians Converter

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

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

Convert degrees to gradians

Result: 1 Degree = 1.1111111111 Gradian

Explain this result

The calculator converts 1 Degree to Gradian and formats the result as 1.1111111111 Gradian.

  1. 1 Degree x 0.0174532925 = 0.0174532925 Radian.
  2. 0.0174532925 Radian / 0.0157079633 = 1.1111111111 Gradian.
  3. The direct relationship is 1 Degree = 1.1111111111 Gradian.

Formula

1 deg = 1.1111111111 gon

Degrees to Gradians Formula

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

Degrees to Gradians Example

Example: convert 1 degrees to gradians

Formula: gon = deg × 1.1111111111

Calculation: 1 × 1.1111111111 = 1.1111111111 -> 1 degrees = 1.1111111111 gradians

Result: 1 degrees = 1.1111111111 gradians

Degrees to Gradians Conversion Table

Degrees (deg)Gradians (gon)
0.01 deg0.0111111111 gon
0.1 deg0.1111111111 gon
1 deg1.1111111111 gon
2 deg2.2222222222 gon
5 deg5.5555555556 gon
10 deg11.1111111111 gon
12 deg13.3333333333 gon
45 deg50 gon
90 deg100 gon
100 deg111.1111111111 gon

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 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.

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.

Degrees to Gradians FAQ

How do you convert degree to gradian?

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

What is 1 degree in gradian?

1 deg equals 1.1111111111 gon.

How many degrees are in 1 gradian?

1 gon equals 0.9 deg.

What does deg to gon mean?

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

More angle conversions

Reverse conversion

  • gradians to degrees

Convert degrees to other units

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

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