gradian [grad] to radian [rad] Converter
grad
rad
How to Convert gradian to radianradian
1 grad = 0.015707963267948967 rad
1 rad = 63.66197723675813 grad
Example: convert 56 grad to rad:
56 grad = 56 x 0.015707963267948967 = 0.8796459430051422 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] |
|---|---|
| 0.01 grad | 0.00015707963267948968 rad |
| 0.1 grad | 0.0015707963267948967 rad |
| 1 grad | 0.015707963267948967 rad |
| 10 grad | 0.15707963267948966 rad |
| 50 grad | 0.7853981633974483 rad |
| 100 grad | 1.5707963267948966 rad |
| 1000 grad | 15.707963267948966 rad |
| 10000 grad | 157.07963267948966 rad |
Common pairs of Angle