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Angle Converter

Degree to Gradian Converter

Convert Degree (°) to Gradian (grad) instantly with our interactive tool, benchmark tables, and detailed unit information.

1 ° = 1.1111 grad
Editable
°
Input
Auto-Calculated
grad
Result
Angle conversion — instant results

Convert Degree to Gradian

1 ° = 1.1111 grad
Degree (°) Gradian (grad)
1 ° 1.111111 grad
5 ° 5.555556 grad
10 ° 11.111111 grad
25 ° 27.777778 grad
50 ° 55.555556 grad
100 ° 111.111111 grad
500 ° 555.555556 grad
1,000 ° 1,111.111111 grad

Convert Gradian to Degree

1 grad = 0.9000 °
Gradian (grad) Degree (°)
1 grad 0.9 °
5 grad 4.5 °
10 grad 9 °
25 grad 22.5 °
50 grad 45 °
100 grad 90 °
500 grad 450 °
1,000 grad 900 °

About Degree and Gradian

Detailed information about both units of measurement.

ANGULAR UNIT

Degree

°
Definition
The most common angular unit. A full circle is divided into 360 equal parts called degrees.
SI / Standard Information
Not an SI unit but widely used. The 360-degree system originates from ancient Babylonian astronomy and their base-60 number system.
Approximate Comparison
One degree is about the width of a little finger held at arm's length.
Practical Applications
  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement
Real-World Examples
  • A right angle is 90 degrees
  • The Earth's axis is tilted at 23.5 degrees
  • A triangle's interior angles sum to 180 degrees
ANGULAR UNIT

Gradian

grad
Definition
A unit dividing a right angle into 100 equal parts. Used in surveying and some European engineering.
SI / Standard Information
Also called a gon or grade. 400 gradians = 1 full circle. 100 gradians = 90 degrees. Introduced during the French metrication effort.
Approximate Comparison
One gradian is about 0.9 degrees or slightly less than 1 degree.
Practical Applications
  • European land surveying
  • Some civil engineering applications
  • French artillery calculations
  • Certain technical drawing applications
Real-World Examples
  • A right angle is 100 gradians
  • A full circle is 400 gradians
  • 45 degrees equals 50 gradians

About Converting Degree to Gradian

Our Degree to Gradian converter provides instant, accurate conversion between these two essential angle units. Whether you are working in engineering, construction, education, or everyday angle measurement, this tool delivers precise results with zero friction.

The Degree (°) is a angular unit of angle. The most common angular unit. A full circle is divided into 360 equal parts called degrees. One degree is about the width of a little finger held at arm's length.

The Gradian (grad) is a angular unit of angle. A unit dividing a right angle into 100 equal parts. Used in surveying and some European engineering. One gradian is about 0.9 degrees or slightly less than 1 degree.

Conversion Formula & Worked Examples

The conversion between ° and grad uses the following mathematical relationship:

Gradian = Degree × 1.111111

Degree = Gradian × 0.900000

Whether you need to convert for navigation and gps coordinates or european land surveying, our interactive converter provides instant, accurate results.

Example

1 °

=

1.1111 grad

Example

5 °

=

5.5556 grad

Example

10 °

=

11.1111 grad

Reverse Direction

Need to convert Gradian back into Degree?

Switch conversion direction to view Gradian → Degree tables, benchmarks, and detailed info.

Open Gradian → Degree

Practical Use Cases & Applications

° Degree

  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement

grad Gradian

  • European land surveying
  • Some civil engineering applications
  • French artillery calculations
  • Certain technical drawing applications

Frequently Asked Questions

Common questions about this conversion and related measurement topics.

How do I convert Degree to Gradian?
To convert Degree (°) to Gradian (grad), multiply the degree value by the conversion factor. Our converter below handles this instantly — just enter the value in ° and the grad result appears in real time.
How many Gradians are in one degree?
One degree (°) equals approximately 1.111111 gradian (grad). This conversion factor is constant and can be used for any degree value.
What is the formula to convert ° to grad?
The conversion formula is: <strong>Gradian = Degree × 1.111111</strong>. For example, 5 ° × 1.1111 = 5.5556 grad, and 10 ° × 1.1111 = 11.1111 grad.
Can I convert Gradian back to Degree?
Yes! Use the reverse direction on our converter, or visit our dedicated <a href="/angle/gradians-to-degrees/" class="text-accent-teal underline">Gradian to Degree converter</a>. The reverse conversion factor is approximately 1 grad = 0.900000 °.
Where is Degree commonly used?
Navigation and GPS coordinates, Engineering and construction angles, Geometry and mathematics education. The most common angular unit. A full circle is divided into 360 equal parts called degrees.
What is the difference between Degree and Gradian?
Degree (°) and Gradian (grad) are both units of angle. Degree belongs to the angular system, while Gradian belongs to the angular system. Understanding the conversion between them is essential for international work in angle measurement.
What are some real-world examples of degrees and gradians?
Degree: A right angle is 90 degrees; The Earth's axis is tilted at 23.5 degrees Gradian: A right angle is 100 gradians; A full circle is 400 gradians

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About This Conversion ℹ

This Degree to Gradian converter provides accurate, real-time conversions between these two angle units.

Both units are among the most commonly used angle measurements — rated 10/10 and 4/10 in popularity.

Bookmark this page for quick access to the Degree → Gradian converter whenever you need precise unit conversion.

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