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  7. Convert gradian to degree

Convert gradian to degree

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

Calculation

value × 0.9

Quick ConversionConverted
1 gon0.9 °
5 gon4.5 °
10 gon9 °
100 gon90 °
1,000 gon900 °

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 selected surveying and engineering workflows.

Gradians are used in some surveying, civil engineering, mapping, and decimal-angle measurement contexts.

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, mapping, drafting, weather direction, and everyday angle measurements.

How to Convert Gradian to Degree

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

1 gon = 0.9 °

1 ° = 1.111111 gon

Formula: value × 0.9

Example: 15 gon = 13.5 °

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

Precision note: Use degrees = gradians x 0.9. The factor is exact because 100 gradians equals 90 degrees.

How many gon in ° and ° in gon

1 gon = 0.9 °

1 ° = 1.111111 gon

Gradian [gon]Degree [°]
0.01 gon0.009 °
0.1 gon0.09 °
1 gon0.9 °
2 gon1.8 °
5 gon4.5 °
10 gon9 °
20 gon18 °
50 gon45 °
100 gon90 °

Common Use Cases for gon to °

  • Translating surveying or civil engineering angles into degrees.
  • Preparing gradian-based values for readers who expect ordinary degree notation.
  • Checking documents that mix centesimal angles and degree measurements.
  • Converting decimal-friendly right-angle subdivisions into a standard geometry scale.

FAQ

How many degrees are in one gradian?

One gradian equals 0.9 degrees.

What is 100 gradians in degrees?

100 gradians equals 90 degrees.

How many gradians are in a full circle?

A full circle contains 400 gradians, which equals 360 degrees.

More Gradian conversions

  • gradian to radians
  • gradian to arcminute
  • gradian to arcsecond