Convert Grades to Radians
Please provide values below to convert Grades [grades] to Radians [r].
How to Convert Grades to Radians
1 grades = 0.015707963267948967 r
1 r = 63.66197723675813 grades
Example: convert 10 grades to r: 10 grades = 10 × 0.015707963267948967 grades = 0.15707963267948966 grades
Grades
Definition: Grades are another term for gradians, with one grade being equal to one gradian. A full circle consists of 400 grades.
History: Grades, or gradians, originated from the same decimal-based system developed during the French Revolution. While the system aimed to simplify angle measurement, its adoption remained limited outside of specific engineering and surveying applications.
Radians
Definition: A radian (r) is the SI unit of angular measurement. One radian is the angle formed when the arc length of a circle equals the circle's radius, with a full rotation being equal to 2π radians.
History: The radian was first introduced in the 18th century by Roger Cotes but became widely accepted in the 19th century. It was officially defined as the standard unit of angular measurement in SI due to its natural mathematical properties, particularly in trigonometry and calculus.
Grades to Radians Conversion Table
| Grades | Radians |
|---|---|
| 0.01 grades | 0.00015707963267948968 r |
| 0.1 grades | 0.0015707963267948969 r |
| 1 grades | 0.015707963267948967 r |
| 2 grades | 0.031415926535897934 r |
| 3 grades | 0.0471238898038469 r |
| 5 grades | 0.07853981633974483 r |
| 10 grades | 0.15707963267948966 r |
| 20 grades | 0.3141592653589793 r |
| 50 grades | 0.7853981633974484 r |
| 100 grades | 1.5707963267948968 r |
| 1000 grades | 15.707963267948967 r |