FORMULA
How to convert
gon = ° × 1.111111111111Example: 10 ° = 11.11111111 gon.
° → GON
Degrees to Gradians
Convert degrees to gradians with an exact, deterministic calculation.
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1 ° = 1.111111111111 gon
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QUICK ANSWER
1 Degree
1.111111111111 gon
REFERENCE TABLE
Degree to Gradian
| degrees | gradians |
|---|---|
| 1 ° | 1.11111111 gon |
| 5 ° | 5.55555556 gon |
| 10 ° | 11.11111111 gon |
| 25 ° | 27.77777778 gon |
| 50 ° | 55.55555556 gon |
| 100 ° | 111.11111111 gon |
ABOUT THIS CONVERSION
Convert degrees to gradians
This page converts degrees (°) to gradians (gon). Convertor4U first interprets the input using Degree's definition, then expresses the same quantity in Gradian. The result is calculated from the stored factor and offset definitions, not from a rounded lookup table.
Real-world example
For working with a drawing, bearing, machine setting, or rotation, an input of 90 ° converts to 100 gon. Keep extra digits while calculating, then round only the final value to the precision the task actually needs.
Rounding and precision
Small angular errors can produce large position errors over distance. Preserve sufficient digits for navigation or machining, and round only to the instrument's angular resolution. Decimal degrees and degrees-minutes-seconds require separate formatting steps.
Regional context
Degrees are widely understood, while mathematical formulas often require radians. The word 'mil' is ambiguous across military and engineering angular systems; this converter provides the SI milliradian and labels it mrad.
Common mistake
Keep angular units separate from angular speed; radians and radians per second describe different quantities.
Editorial method
Definitions and sources are listed below. Calculations retain more precision than the default display and round only for presentation.
USEFUL ANSWERS
° to gon FAQs
How do I convert degrees to gradians?
Enter the ° value in the calculator. It applies the stored factor and offset definitions and returns the equivalent in gon; the formula and common-value table are shown on this page.
Is the ° to gon conversion exact?
Defined measurement relationships are calculated with decimal arithmetic from stored standards. The displayed answer may be rounded for readability. Currency results instead depend on the dated reference rate shown.
How many decimal places should I keep?
Small angular errors can produce large position errors over distance. Preserve sufficient digits for navigation or machining, and round only to the instrument's angular resolution. Decimal degrees and degrees-minutes-seconds require separate formatting steps.
What should I check before using the result?
Keep angular units separate from angular speed; radians and radians per second describe different quantities.
FROM UNIT
Degree
A degree (°) is one 360th of a complete revolution. It measures plane angle or rotation.
BIPM SI Brochure and exact international definitions ↗Definition verified 14 August 2026TO UNIT
Gradian
One gradian (gon) equals .01570796326794896619 radian units (rad) in the converter's reference scale. It measures plane angle or rotation.
BIPM SI Brochure and exact international definitions ↗Definition verified 14 August 2026Content reviewed by Convertor4U Editorial Team · 16 August 2026 · Report an error on this page