gradian [grad] to radian [rad] Converter
Quick Reference
1 gradian (grad) = 0.01570796327 radian (rad)
1 radian (rad) = 63.66197724 gradian (grad)
How to Convert gradian to radian
1 grad = 0.01570796327 rad
1 rad = 63.66197724 grad
To convert gradian to radian, divide the value by 63.66197724 (equivalently, multiply by 0.01570796327). To convert radian back to gradian, multiply by 63.66197724.
Example: convert 10 grad to rad:
10 grad = 10 x 0.01570796327 = 0.1570796327 rad
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.
radian
Definition: A radian is the standard unit of angular measure, used in many areas of mathematics. One radian is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.
History/origin: The concept of radian measure was developed in the mid-18th century. Roger Cotes was one of the first to recognize the naturalness of using the radius as the unit of angle measurement. The term 'radian' first appeared in print on 1873, in examination questions set by James Thomson at Queen's College, Belfast.
Current use: Radians are widely used in mathematics, physics, and engineering, particularly in calculus, trigonometry, and signal processing. They simplify many formulas and are the standard unit for angular measurement in scientific and mathematical contexts.
gradian to radian Conversion Table
| gradian [grad] | radian [rad] |
|---|---|
| 1 grad | 0.01570796327 rad |
| 2 grad | 0.03141592654 rad |
| 5 grad | 0.07853981634 rad |
| 10 grad | 0.1570796327 rad |
| 20 grad | 0.3141592654 rad |
| 50 grad | 0.7853981634 rad |
| 100 grad | 1.570796327 rad |
| 200 grad | 3.141592654 rad |
| 500 grad | 7.853981634 rad |
| 1000 grad | 15.70796327 rad |
Common gradian to radian conversions
- 1 grad = 0.01570796327 rad
- 2 grad = 0.03141592654 rad
- 3 grad = 0.0471238898 rad
- 4 grad = 0.06283185307 rad
- 5 grad = 0.07853981634 rad
- 6 grad = 0.09424777961 rad
- 7 grad = 0.1099557429 rad
- 8 grad = 0.1256637061 rad
- 9 grad = 0.1413716694 rad
- 10 grad = 0.1570796327 rad
- 12 grad = 0.1884955592 rad
- 15 grad = 0.235619449 rad
- 20 grad = 0.3141592654 rad
- 25 grad = 0.3926990817 rad
- 30 grad = 0.471238898 rad
- 40 grad = 0.6283185307 rad
- 50 grad = 0.7853981634 rad
- 60 grad = 0.9424777961 rad
- 75 grad = 1.178097 rad
- 100 grad = 1.570796 rad
- 150 grad = 2.356194 rad
- 200 grad = 3.141593 rad
- 250 grad = 3.926991 rad
- 300 grad = 4.712389 rad
- 500 grad = 7.853982 rad
- 750 grad = 11.780972 rad
- 1,000 grad = 15.707963 rad