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  5. Angle Converter
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  7. Convert degree to gradian

Convert degree to gradian

Convert Degree (°) to Gradian (gon) instantly.

Calculation

value × 1.11111111111

Quick ConversionConverted
1 °1.111111 gon
5 °5.555556 gon
10 °11.111111 gon
100 °111.111111 gon
1,000 °1,111.111111 gon

Degree

A degree is an angle unit equal to one three-hundred-sixtieth of a full circle.

Degrees have long been used in astronomy, geometry, navigation, and mapping.

Degrees are used in geometry, navigation, surveying, weather direction, mapping, drafting, and everyday angle measurements.

Gradian

A gradian is an angle unit where a full circle equals 400 gradians.

Gradians were introduced as a decimal angle system and became useful in some surveying and engineering contexts.

Gradians are used in selected surveying, civil engineering, mapping, and decimal-angle workflows.

How to Convert Degree to Gradian

Mathematically, gradian (gon) = degree (°) converted with the formula below.

1 ° = 1.111111 gon

1 gon = 0.9 °

Formula: value × 1.11111111111

Example: 15 ° = 16.666667 gon

  1. Start with the angle value in degrees.
  2. Use the relationship that 90 degrees equals 100 gradians.
  3. Multiply the degree value by 10.
  4. Divide by 9 to get gradians.

Precision note: Use gradians = degrees x 10 / 9. The factor is exact because 90 degrees equals 100 gradians.

How many ° in gon and gon in °

1 ° = 1.111111 gon

1 gon = 0.9 °

Degree [°]Gradian [gon]
0.01 °0.011111 gon
0.1 °0.111111 gon
1 °1.111111 gon
2 °2.222222 gon
5 °5.555556 gon
10 °11.111111 gon
20 °22.222222 gon
50 °55.555556 gon
100 °111.111111 gon

Common Use Cases for ° to gon

  • Converting surveying or engineering angles into gradians.
  • Preparing decimal angle references where a right angle is 100 grad.
  • Checking documents that mix degrees and gradians.
  • Translating classroom or geometry angles into the centesimal angle scale.

FAQ

How many gradians are in one degree?

One degree equals 1.111111111 gradians.

What is 90 degrees in gradians?

90 degrees equals 100 gradians.

Why use gradians?

Gradians divide a right angle into 100 units, which can be convenient in some surveying and decimal-angle workflows.

More Degree conversions

  • degree to radians
  • degree to arcminute
  • degree to arcsecond