degree [deg] to gradian [grad] Converter
Quick Reference
1 degree (deg) = 1.111111111 gradian (grad)
1 gradian (grad) = 0.9 degree (deg)
How to Convert degree to gradian
1 deg = 1.1111111111111112 grad
1 grad = 0.9 deg
To convert degree to gradian, multiply the value by 1.111111111. To convert gradian back to degree, divide by 1.111111111.
Example: convert 10 deg to grad:
10 deg = 10 x 1.1111111111111112 = 11.11111111111111 grad
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
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 to gradian Conversion Table
| degree [deg] | gradian [grad] |
|---|---|
| 1 deg | 1.1111111111111112 grad |
| 2 deg | 2.2222222222222223 grad |
| 5 deg | 5.555555555555555 grad |
| 10 deg | 11.11111111111111 grad |
| 20 deg | 22.22222222222222 grad |
| 50 deg | 55.55555555555556 grad |
| 100 deg | 111.11111111111111 grad |
| 200 deg | 222.22222222222223 grad |
| 500 deg | 555.5555555555555 grad |
| 1000 deg | 1111.111111111111 grad |