radian [rad] to gradian [grad] Converter
rad
grad
How to Convert radian to gradiangradian
1 rad = 63.66197723675813 grad
1 grad = 0.015707963267948967 rad
Example: convert 47 rad to grad:
47 rad = 47 x 63.66197723675813 = 2992.1129301276324 grad
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
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 to gradian Conversion Table
| radian [rad] | gradian [grad] |
|---|---|
| 0.01 rad | 0.6366197723675814 grad |
| 0.1 rad | 6.366197723675814 grad |
| 1 rad | 63.66197723675813 grad |
| 10 rad | 636.6197723675814 grad |
| 50 rad | 3183.098861837907 grad |
| 100 rad | 6366.197723675814 grad |
| 1000 rad | 63661.97723675813 grad |
| 10000 rad | 636619.7723675814 grad |
Common pairs of Angle