Gradians to Degrees Converter

Convert gradians to degrees.

Gradians → Degrees

Enter a value in Gradians1 Gradians = 0.9 Degrees
Gradians

Decimals supported.

Result

Degrees

Enter a value to convert Gradians to Degrees.

How to convert Gradians to Degrees?

Gradians (also called grads or gons) divide a full circle into 400 parts, while degrees divide a circle into 360 parts:

  • 400 gradians = 360°
  • 1 gradian = 0.9°

To convert Gradians to Degrees, multiply the value by 0.9.

Formula: Degrees = Gradians × 0.9

Step-by-Step Calculation

  1. 1
    Take the number of Gradians you want to convert (e.g., 200).
  2. 2
    Multiply that value by 0.9.
  3. 3
    The result is the value in Degrees. (Example: 200 × 0.9 = 180°).

How to use this converter?

Enter gradians and instantly get degrees—useful for surveying, mapping, and geometry.

Tip: Why 400 gradians?

Gradians were designed to make right angles and decimal subdivisions easier—commonly used in some surveying contexts.

Common Gradians to Degrees Conversions

Gradians InputDegrees Result
25 grad22.5°
50 grad45°
75 grad67.5°
100 grad90°
150 grad135°
200 grad180°
250 grad225°
300 grad270°
350 grad315°
400 grad360°

Frequently Asked Questions

Q

How do I convert gradians to degrees?

Multiply gradians by 0.9 to get degrees.

Q

How many degrees is 100 gradians?

100 gradians equals 90°.

Q

How many gradians are in a full circle?

A full circle is 400 gradians.

Q

Is a gradian the same as a radian?

No. Gradians divide a circle into 400 parts, while radians are based on arc length and π.

Q

Is this conversion exact?

Yes—because 400 gradians equals exactly 360°, so 1 grad = 0.9° exactly.