Convert Gradians to Degrees
Instantly convert Gradians (grad) to Degrees (°) with our free online calculator.
Formula: grad to ° — multiply by 0.9
Reference Table
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 5 | 4.5 |
| 10 | 9 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
How to Convert Gradians to Degrees
Formula
To convert Gradians (grad) to Degrees (°): multiply by 0.9
Step-by-Step
- Start with your value in Gradians (grad).
- Multiply by 0.9 to perform the conversion.
- The result is your value expressed in Degrees (°).
Conversion Factor
1 grad = 0.9 °
Reverse Factor
1 ° = 1.11111 grad
Worked Example
Convert 25 Gradians to Degrees: 25 grad = 22.5 °
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.
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.
Quick Facts
- 1 Gradian equals 0.9 Degrees
- 1 Degree equals 1.11111 Gradians
- Gradian is a unit of angle
- Degree is a unit of angle
- This conversion is commonly used in surveying, navigation, trigonometry, and mechanical design
Common Gradian to Degree Conversions
| Gradians (grad) | Degrees (°) |
|---|---|
| 0.01 | 0.009 |
| 0.1 | 0.09 |
| 0.25 | 0.225 |
| 0.5 | 0.45 |
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 5 | 4.5 |
| 10 | 9 |
| 15 | 13.5 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 75 | 67.5 |
| 100 | 90 |
| 250 | 225 |
| 500 | 450 |
| 1000 | 900 |
| 5000 | 4500 |
| 10000 | 9000 |
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.
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.
Why Convert Gradians to Degrees?
Converting between Gradians and Degrees 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 Gradians to Degrees?
A decimal-friendly unit of angle equal to 1/400 of a full rotation (so 100 grad = 90°, a right angle). To convert Gradians to Degrees, multiply by 0.9. For example, 25 grad equals 22.5 °.
How many Degrees are in 1 Gradian?
There are 0.9 Degrees in 1 Gradian.
How many Gradians are in 1 Degree?
There are 1.11111 Gradians in 1 Degree.
What is the formula for Gradian to Degree conversion?
The formula is: multiply by 0.9. This means 1 grad = 0.9 °.
Is a Gradian bigger than a Degree?
Yes. One Gradian is larger than one Degree because 1 grad equals 0.9 °, which is less than 1.
When do you need to convert between Gradians and Degrees?
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. Gradian and Degree 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.