Convert Radians to Grades
Please provide values below to convert Radians [r] to Grades [grades].
How to Convert Radians to Grades
1 r = 63.66197723675813 grades
1 grades = 0.015707963267948967 r
Example: convert 10 r to grades: 10 r = 10 × 63.66197723675813 r = 636.6197723675814 r
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
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 to Grades Conversion Table
| Radians | Grades |
|---|---|
| 0.01 r | 0.6366197723675814 grades |
| 0.1 r | 6.366197723675814 grades |
| 1 r | 63.66197723675813 grades |
| 2 r | 127.32395447351627 grades |
| 3 r | 190.9859317102744 grades |
| 5 r | 318.3098861837907 grades |
| 10 r | 636.6197723675814 grades |
| 20 r | 1273.2395447351628 grades |
| 50 r | 3183.0988618379065 grades |
| 100 r | 6366.197723675813 grades |
| 1000 r | 63661.97723675813 grades |