Convert Radians to Gradians
Please provide values below to convert Radians [r] to Gradians [grads].
How to Convert Radians to Gradians
1 r = 63.66197723675813 grads
1 grads = 0.015707963267948967 r
Example: convert 10 r to grads: 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.
Gradians
Definition: A gradian (or gon) is a unit of angular measurement where a right angle is divided into 100 gradians, making a full rotation equal to 400 gradians.
History: The gradian system was developed in the late 18th century during the French Revolution as part of the metric system. It was designed to simplify calculations by aligning with decimal-based measurements, though it remains less commonly used today compared to degrees and radians.
Radians to Gradians Conversion Table
| Radians | Gradians |
|---|---|
| 0.01 r | 0.6366197723675814 grads |
| 0.1 r | 6.366197723675814 grads |
| 1 r | 63.66197723675813 grads |
| 2 r | 127.32395447351627 grads |
| 3 r | 190.9859317102744 grads |
| 5 r | 318.3098861837907 grads |
| 10 r | 636.6197723675814 grads |
| 20 r | 1273.2395447351628 grads |
| 50 r | 3183.0988618379065 grads |
| 100 r | 6366.197723675813 grads |
| 1000 r | 63661.97723675813 grads |