gradian [grad] to degree [deg] Converter
Quick Reference
1 gradian (grad) = 0.9 degree (deg)
1 degree (deg) = 1.111111111 gradian (grad)
How to Convert gradian to degree
1 grad = 0.9 deg
1 deg = 1.111111111 grad
To convert gradian to degree, divide the value by 1.111111111 (equivalently, multiply by 0.9). To convert degree back to gradian, multiply by 1.111111111.
Example: convert 10 grad to deg:
10 grad = 10 x 0.9 = 9 deg
gradian
Definition: A gradian (also known as a gon or grade) is a unit of angular measure, defined as 1/400 of a full rotation. It is primarily used in surveying and some European countries.
History/origin: The gradian was introduced in France during the French Revolution as part of the metric system. It was intended to simplify calculations, as it is based on decimal divisions.
Current use: Gradians are mainly used in surveying, particularly in Europe. They are less common than degrees or radians in most other applications.
degree
Definition: A degree (symbol: °) is a unit of angular measure, representing 1/360 of a full rotation. It is a common unit for measuring angles, particularly in geometry and navigation.
History/origin: The division of a circle into 360 degrees is attributed to the ancient Babylonians, who used a base-60 (sexagesimal) numeral system. They may have chosen 360 because it is close to the number of days in a year.
Current use: Degrees are widely used in everyday contexts for measuring angles, such as in maps, compasses, and architectural drawings. They are also commonly used in mathematics and science, although radians are preferred in many theoretical contexts.
gradian to degree Conversion Table
| gradian [grad] | degree [deg] |
|---|---|
| 1 grad | 0.9 deg |
| 2 grad | 1.8 deg |
| 5 grad | 4.5 deg |
| 10 grad | 9 deg |
| 20 grad | 18 deg |
| 50 grad | 45 deg |
| 100 grad | 90 deg |
| 200 grad | 180 deg |
| 500 grad | 450 deg |
| 1000 grad | 900 deg |
Common gradian to degree conversions
- 1 grad = 0.9 deg
- 2 grad = 1.8 deg
- 3 grad = 2.7 deg
- 4 grad = 3.6 deg
- 5 grad = 4.5 deg
- 6 grad = 5.4 deg
- 7 grad = 6.3 deg
- 8 grad = 7.2 deg
- 9 grad = 8.1 deg
- 10 grad = 9 deg
- 12 grad = 10.8 deg
- 15 grad = 13.5 deg
- 20 grad = 18 deg
- 25 grad = 22.5 deg
- 30 grad = 27 deg
- 40 grad = 36 deg
- 50 grad = 45 deg
- 60 grad = 54 deg
- 75 grad = 67.5 deg
- 100 grad = 90 deg
- 150 grad = 135 deg
- 200 grad = 180 deg
- 250 grad = 225 deg
- 300 grad = 270 deg
- 500 grad = 450 deg
- 750 grad = 675 deg
- 1,000 grad = 900 deg