Quickly Converter Logo
angle ConverterLive Bidirectional Calculator

Degree to Gradian (Gon) Converter

Use this free, accurate degree to gradian (gon) calculator to convert between Degree (°) and Gradian (Gon) (grad). Includes live instant results, complete mathematical formulas, conversion tables, and step-by-step examples.

Quick Values:
Decimals:
Result:

1.111111111 Gradian

Conversion Ratio

1 ° is equal to 1.111111 grad.

Formula Rule

grad = ° × 1.11111111

Category Pillar

angle Converters

View all →
Step-by-Step Math

How to Convert Degree to Gradian (Gon)

To convert from Degree to Gradian (Gon), multiply the value in Degree by 1.111111 (or use the formula: grad = ° × 1.111111).

Formula:grad = ° × 1.11111111
1

Identify Input Amount

Take your initial measurement in Degree (°). For instance, let's convert 1 °.

Value = 1 °
2

Apply the Conversion Factor

Multiply by the standard conversion factor (1.111111).

1 × 1.111111
3

Calculate the Result

The final converted measurement equals 1.111111 Gradian (Gon) (grad).

Result = 1.111111 grad
Quick Reference Chart

Degree to Gradian (Gon) Conversion Table

Compare standard reference values and common conversion benchmarks.

Degree (°)Gradian (Gon) (grad)Action
1 °1.11111 grad
2 °2.22222 grad
3 °3.33333 grad
5 °5.55556 grad
10 °11.11111 grad
15 °16.66667 grad
20 °22.22222 grad
25 °27.77778 grad
50 °55.55556 grad
75 °83.33333 grad
100 °111.11111 grad
250 °277.77778 grad
500 °555.55556 grad
1000 °1111.11111 grad
Unit Encyclopedia

Understanding Degree and Gradian (Gon)

Official standards, measurement systems, and real-world everyday applications.

Source UnitStandard

Degree [°]

A degree is a measurement of plane angle defined such that a full rotation is 360 degrees.

Common Practical Uses

GeometryNavigation compass bearingsAstronomyMechanical engineering
Target UnitMetric Surveying

Gradian (Gon) [grad]

A gradian (also called a gon) is a decimal angular unit equal to 1/400 of a full circle (0.9 degrees).

Common Practical Uses

Land surveying in EuropeCivil engineeringTunnel mining

Need to convert in reverse?

Calculate from Gradian (Gon) (grad) back to Degree (°).

Convert Gradian (Gon) to Degree

Common & Popular Converters

Frequently used unit conversions in this category:

Related Categories

Explore other measurement and calculation tools:

Frequently Asked Questions

How many gradians are in 1 degrees?

There are 1.111111 gradians in 1 degrees. Exactly 1 ° is equal to 1.111111 grad.

What is the formula to convert degrees to gradians?

The conversion formula is: Gradian (Gon) = grad = ° × 1.11111111. Applying this to 1 ° gives: 1 × 1.111111 = 1.111111 grad.

How do you convert gradians back to degrees?

To convert in reverse from gradians to degrees, multiply by the inverse factor: 1 grad = 0.9 °. Alternatively, divide your Gradian (Gon) amount by 1.111111.

How can I estimate Degree to Gradian (Gon) without a calculator?

To calculate in your head, round the conversion multiplier (1.11) to the nearest easy whole or decimal number.

What is the difference between Degree and Gradian (Gon)?

Degree (°) belongs to the Standard system, commonly used in Geometry, Navigation compass bearings, Astronomy. In comparison, Gradian (Gon) (grad) is part of the Metric Surveying system, frequently applied in Land surveying in Europe, Civil engineering, Tunnel mining.

What are common benchmark conversions from Degree to Gradian (Gon)?

Key milestones include: 1 ° = 1.111111 grad, 5 ° = 5.5556 grad, 10 ° = 11.1111 grad, 50 ° = 55.5556 grad, and 100 ° = 111.1111 grad.