Convert Gradians to Radians
Please provide values below to convert Gradians [grads] to Radians [r].
How to Convert Gradians to Radians
1 grads = 0.015707963267948967 r
1 r = 63.66197723675813 grads
Example: convert 10 grads to r: 10 grads = 10 × 0.015707963267948967 grads = 0.15707963267948966 grads
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
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 to Radians Conversion Table
| Gradians | Radians |
|---|---|
| 0.01 grads | 0.00015707963267948968 r |
| 0.1 grads | 0.0015707963267948969 r |
| 1 grads | 0.015707963267948967 r |
| 2 grads | 0.031415926535897934 r |
| 3 grads | 0.0471238898038469 r |
| 5 grads | 0.07853981633974483 r |
| 10 grads | 0.15707963267948966 r |
| 20 grads | 0.3141592653589793 r |
| 50 grads | 0.7853981633974484 r |
| 100 grads | 1.5707963267948968 r |
| 1000 grads | 15.707963267948967 r |