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Angle Converter

Gradian to Degree Converter

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

1 grad = 0.9000 °
Editable
grad
Input
Auto-Calculated
°
Result
Angle conversion — instant results

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 °

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

About Gradian and Degree

Detailed information about both units of measurement.

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
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

About Converting Gradian to Degree

Our Gradian to Degree 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 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.

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.

Conversion Formula & Worked Examples

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

Degree = Gradian × 0.900000

Gradian = Degree × 1.111111

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

Example

1 grad

=

0.9 °

Example

5 grad

=

4.5 °

Example

10 grad

=

9 °

Reverse Direction

Need to convert Degree back into Gradian?

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

Open Degree → Gradian

Practical Use Cases & Applications

grad Gradian

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

° Degree

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

Frequently Asked Questions

Common questions about this conversion and related measurement topics.

How do I convert Gradian to Degree?
To convert Gradian (grad) to Degree (°), multiply the gradian value by the conversion factor. Our converter below handles this instantly — just enter the value in grad and the ° result appears in real time.
How many Degrees are in one gradian?
One gradian (grad) equals approximately 0.900000 degree (°). This conversion factor is constant and can be used for any gradian value.
What is the formula to convert grad to °?
The conversion formula is: <strong>Degree = Gradian × 0.900000</strong>. For example, 5 grad × 0.9000 = 4.5000 °, and 10 grad × 0.9000 = 9.0000 °.
Can I convert Degree back to Gradian?
Yes! Use the reverse direction on our converter, or visit our dedicated <a href="/angle/degrees-to-gradians/" class="text-accent-teal underline">Degree to Gradian converter</a>. The reverse conversion factor is approximately 1 ° = 1.111111 grad.
Where is Gradian commonly used?
European land surveying, Some civil engineering applications, French artillery calculations. A unit dividing a right angle into 100 equal parts. Used in surveying and some European engineering.
What is the difference between Gradian and Degree?
Gradian (grad) and Degree (°) are both units of angle. Gradian belongs to the angular system, while Degree 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 gradians and degrees?
Gradian: A right angle is 100 gradians; A full circle is 400 gradians Degree: A right angle is 90 degrees; The Earth's axis is tilted at 23.5 degrees

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About This Conversion ℹ

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

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

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

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