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Gradian (Gon) to Degree Converter

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

Quick Values:
Decimals:
Result:

0.9 Degree

Conversion Ratio

1 grad is equal to 0.9 °.

Formula Rule

° = grad × 0.9

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Step-by-Step Math

How to Convert Gradian (Gon) to Degree

To convert from Gradian (Gon) to Degree, multiply the value in Gradian (Gon) by 0.9 (or use the formula: ° = grad × 0.9).

Formula:° = grad × 0.9
1

Identify Input Amount

Take your initial measurement in Gradian (Gon) (grad). For instance, let's convert 1 grad.

Value = 1 grad
2

Apply the Conversion Factor

Multiply by the standard conversion factor (0.9).

1 × 0.9
3

Calculate the Result

The final converted measurement equals 0.9 Degree (°).

Result = 0.9 °
Quick Reference Chart

Gradian (Gon) to Degree Conversion Table

Compare standard reference values and common conversion benchmarks.

Gradian (Gon) (grad)Degree (°)Action
1 grad0.9 °
2 grad1.8 °
3 grad2.7 °
5 grad4.5 °
10 grad9 °
15 grad13.5 °
20 grad18 °
25 grad22.5 °
50 grad45 °
75 grad67.5 °
100 grad90 °
250 grad225 °
500 grad450 °
1000 grad900 °
Unit Encyclopedia

Understanding Gradian (Gon) and Degree

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

Source 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
Target 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

Need to convert in reverse?

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

Convert Degree to Gradian (Gon)

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Frequently Asked Questions

How many degrees are in 1 gradians?

There are 0.9 degrees in 1 gradians. Exactly 1 grad is equal to 0.9 °.

What is the formula to convert gradians to degrees?

The conversion formula is: Degree = ° = grad × 0.9. Applying this to 1 grad gives: 1 × 0.9 = 0.9 °.

How do you convert degrees back to gradians?

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

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

To calculate in your head, round the conversion multiplier (0.9) to the nearest easy whole or decimal number.

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

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

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

Key milestones include: 1 grad = 0.9 °, 5 grad = 4.5 °, 10 grad = 9 °, 50 grad = 45 °, and 100 grad = 90 °.