Convert radian to grad
Please provide values below to convert radian [rad] to grad [^g], or Convert grad to radian.
How to Convert Radian to Grad
1 rad = 63.6619772366667 ^g
Example: convert 15 rad to ^g:
15 rad = 15 × 63.6619772366667 ^g = 954.92965855 ^g
Radian to Grad Conversion Table
| radian | grad |
|---|
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Grad
A grad, also known as a gon, is a unit of angular measurement equal to 1/400 of a full circle, or 0.9 degrees.
History/Origin
The grad was introduced in the 19th century as part of the metric system for surveying and military purposes, primarily used in Europe. It was designed to simplify calculations related to angles and bearings.
Current Use
Today, the grad is used mainly in surveying, cartography, and military applications in some countries. It is also employed in certain scientific and engineering contexts where a decimal-based angular unit is preferred.