Convert Gons to Radians
Please provide values below to convert Gons [gons] to Radians [r].
How to Convert Gons to Radians
1 gons = 0.015707963267948967 r
1 r = 63.66197723675813 gons
Example: convert 10 gons to r: 10 gons = 10 × 0.015707963267948967 gons = 0.15707963267948966 gons
Gons
Definition: Gons are equivalent to gradians, where a right angle equals 100 gons, and a full rotation equals 400 gons.
History: Gons, like gradians, were introduced as part of the metric system to create a more decimal-friendly angular measurement. Although widely used in European surveying, the system never fully replaced degrees and radians in broader scientific and engineering fields.
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.
Gons to Radians Conversion Table
| Gons | Radians |
|---|---|
| 0.01 gons | 0.00015707963267948968 r |
| 0.1 gons | 0.0015707963267948969 r |
| 1 gons | 0.015707963267948967 r |
| 2 gons | 0.031415926535897934 r |
| 3 gons | 0.0471238898038469 r |
| 5 gons | 0.07853981633974483 r |
| 10 gons | 0.15707963267948966 r |
| 20 gons | 0.3141592653589793 r |
| 50 gons | 0.7853981633974484 r |
| 100 gons | 1.5707963267948968 r |
| 1000 gons | 15.707963267948967 r |