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📏 Degrees to Gradians Converter

Convert degrees (°) to gradians (gon) instantly, with the formula, a worked example and a conversion table.

Quick answer: 1 degree (°) = 1.1111111 gradians (gon). Formula: gon = ° × 1.1111111.

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Degrees to Gradians Converter inputs

Result

1 ° =

1.1111111 gon

gon = ° × 1.1111111

1 degree = 1.1111111 gon · gon to °

Degrees to Gradians conversion table

Degrees (°)Gradians (gon)
0.1 °0.11111111 gon
0.5 °0.55555556 gon
1 °1.1111111 gon
2 °2.2222222 gon
3 °3.3333333 gon
5 °5.5555556 gon
10 °11.111111 gon
20 °22.222222 gon
25 °27.777778 gon
50 °55.555556 gon
100 °111.11111 gon
1,000 °1,111.1111 gon

Other angle conversions

° to rad° to gon° to ′° to ″° to rev

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How to convert degrees to gradians

Multiply the number of degrees by 1.1111111 to get gradians: gon = ° × 1.1111111.

Example: 5 ° = 5.5555556 gon.

The degree (°) and the gradian (gon) are both units of angle. Need the opposite direction? Use the gon to ° converter.

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Metric and imperial units

The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.

Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.

This converter covers 18 categories and 106 units: length, weight, temperature, volume, area, speed, time, data, energy, pressure, power, angle, force, torque, frequency, flow rate, illuminance, density.

Frequently asked questions

How many gradians are in a degree?

1 degree = 1.1111111 gradians.

How do I convert degrees to gradians?

Use the formula gon = ° × 1.1111111. For example, 5 ° = 5.5555556 gon.

How do I convert gradians back to degrees?

1 gradian = 0.9 degrees. Use the gon to ° converter linked on this page.

Are these conversions exact?

Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.