Convert Degrees to Gradians
Instantly convert Degrees (°) to Gradians (grad) with our free online calculator.
Formula: ° to grad — multiply by 1.11111
Reference Table
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 | 1.11111 |
| 5 | 5.55556 |
| 10 | 11.1111 |
| 25 | 27.7778 |
| 50 | 55.5556 |
| 100 | 111.111 |
How to Convert Degrees to Gradians
Formula
To convert Degrees (°) to Gradians (grad): multiply by 1.11111
Step-by-Step
- Start with your value in Degrees (°).
- Multiply by 1.11111 to perform the conversion.
- The result is your value expressed in Gradians (grad).
Conversion Factor
1 ° = 1.11111 grad
Reverse Factor
1 grad = 0.9 °
Worked Example
Convert 25 Degrees to Gradians: 25 ° = 27.7778 grad
About Degree (°)
A unit of angle equal to 1/360 of a full rotation, inherited from Babylonian astronomy's base-60 number system about 4,000 years ago. Degrees are the universal everyday angle unit — compass bearings, latitude/longitude, machine-tool protractors, GIS data, and architectural drawings. A right angle is 90°, a straight line 180°, a full turn 360°. Trigonometry education worldwide introduces sine and cosine in degrees before moving students to radians.
About Gradian (grad)
A decimal-friendly unit of angle equal to 1/400 of a full rotation (so 100 grad = 90°, a right angle). Also called the "gon". Developed during the French Revolution to decimalize angular measurement, gradians survive today primarily in European surveying and land-cadastre mapping, especially in France and Germany. Most scientific calculators include a "grad" mode alongside degrees and radians for this reason.
Quick Facts
- 1 Degree equals 1.11111 Gradians
- 1 Gradian equals 0.9 Degrees
- Degree is a unit of angle
- Gradian is a unit of angle
- This conversion is commonly used in surveying, navigation, trigonometry, and mechanical design
Common Degree to Gradian Conversions
| Degrees (°) | Gradians (grad) |
|---|---|
| 0.01 | 0.0111111 |
| 0.1 | 0.111111 |
| 0.25 | 0.277778 |
| 0.5 | 0.555556 |
| 1 | 1.11111 |
| 2 | 2.22222 |
| 3 | 3.33333 |
| 5 | 5.55556 |
| 10 | 11.1111 |
| 15 | 16.6667 |
| 20 | 22.2222 |
| 25 | 27.7778 |
| 50 | 55.5556 |
| 75 | 83.3333 |
| 100 | 111.111 |
| 250 | 277.778 |
| 500 | 555.556 |
| 1000 | 1111.11 |
| 5000 | 5555.56 |
| 10000 | 11111.1 |
Understanding Degrees
The Degree (symbol: °) is a unit of angle. A unit of angle equal to 1/360 of a full rotation, inherited from Babylonian astronomy's base-60 number system about 4,000 years ago. Degrees are the universal everyday angle unit — compass bearings, latitude/longitude, machine-tool protractors, GIS data, and architectural drawings. A right angle is 90°, a straight line 180°, a full turn 360°. Trigonometry education worldwide introduces sine and cosine in degrees before moving students to radians.
Degrees are commonly used in surveying, navigation, trigonometry, and mechanical design.
Understanding Gradians
The Gradian (symbol: grad) is a unit of angle. A decimal-friendly unit of angle equal to 1/400 of a full rotation (so 100 grad = 90°, a right angle). Also called the "gon". Developed during the French Revolution to decimalize angular measurement, gradians survive today primarily in European surveying and land-cadastre mapping, especially in France and Germany. Most scientific calculators include a "grad" mode alongside degrees and radians for this reason.
Gradians are commonly used in surveying, navigation, trigonometry, and mechanical design.
Why Convert Degrees to Gradians?
Converting between Degrees and Gradians is a frequent requirement for engineers, scientists, and students working with angle values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angle conversion is essential.
Frequently Asked Questions
How do I convert Degrees to Gradians?
A unit of angle equal to 1/360 of a full rotation, inherited from Babylonian astronomy's base-60 number system about 4,000 years ago. To convert Degrees to Gradians, multiply by 1.11111. For example, 25 ° equals 27.7778 grad.
How many Gradians are in 1 Degree?
There are 1.11111 Gradians in 1 Degree.
How many Degrees are in 1 Gradian?
There are 0.9 Degrees in 1 Gradian.
What is the formula for Degree to Gradian conversion?
The formula is: multiply by 1.11111. This means 1 ° = 1.11111 grad.
Is a Degree bigger than a Gradian?
No. One Degree is smaller than one Gradian because 1 ° equals 1.11111 grad, which is greater than 1.
When do you need to convert between Degrees and Gradians?
A decimal-friendly unit of angle equal to 1/400 of a full rotation (so 100 grad = 90°, a right angle). Degree and Gradian are both angle units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.