How do I convert degrees to gradians by hand?

Use gon = ° × 1.111111111. The step-by-step panel shows the same calculation with your own numbers substituted in.

Is the answer exact or rounded?

The calculation itself uses the full stored precision of the defined factor. Only the displayed figure is rounded, and the page also shows a shorter everyday value beside the full one.

Can I check the conversion the other way round?

Yes. The result panel converts the answer straight back into your original unit so you can confirm nothing was lost.

Can I download the result?

Yes — the PDF button produces a branded report with your input, the answer, the formula and the full working.

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Unit Conversions & Measures

Degrees to Gradians Converter

Convert degrees to gradians with the exact factor, the working shown step by step and a plain-English explanation.

Your inputs

Change any value to update the result instantly.

Unit Conversions & Measures

Value in degrees

Gradians

11.111111 gon

Conversion factor

1 ° = 1.111111111 gon

Value in radian (internal base unit)

0.17453293 rad

Reverse conversion check

11.111111 gon = 10 °

Rounded for everyday use

11.11 gon

What this calculator does

Converts a measurement given in degrees into gradians using the defined conversion factor.

What your result means

The same quantity expressed in gon instead of °. Nothing about the measurement itself changes.

Formula and working

gon = ° × 1.111111111

1
Start with your value
10 °
2
Convert to radian
10 × 0.0174532925 = 0.17453293 rad
3
Convert into gradians
0.17453293 ÷ 0.0157079633 = 11.111111 gon
4
Result
10 ° = 11.111111 gon

Frequently asked questions

Symbols and assumptions

°: Input unit — degree
gon: Output unit — gradian
rad: Base unit used internally for angle

• Both units measure angle, so the physical quantity is unchanged by the conversion.
• The relationship is exactly linear: 1 ° = 1.111111111 gon.
• Values are converted through the SI base unit for this quantity rather than pair by pair.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

The International System of Units (SI Brochure), 9th editionBureau International des Poids et Mesures · 9th edition Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — conversion factorsNational Institute of Standards and Technology · 2008 edition

• A unit conversion changes how a number is expressed, not how it was measured — the answer can never be more accurate than the value entered.
• Displayed figures are rounded for readability; the full stored precision of the gon value is used in every onward calculation.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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