Convert Radians to Gons

Please provide values below to convert Radians [r] to Gons [gons].

Radians
r
Gons
0.00gons

How to Convert Radians to Gons

1 r = 63.66197723675813 gons

1 gons = 0.015707963267948967 r

Example: convert 10 r to gons: 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.

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 to Gons Conversion Table

RadiansGons
0.01 r0.6366197723675814 gons
0.1 r6.366197723675814 gons
1 r63.66197723675813 gons
2 r127.32395447351627 gons
3 r190.9859317102744 gons
5 r318.3098861837907 gons
10 r636.6197723675814 gons
20 r1273.2395447351628 gons
50 r3183.0988618379065 gons
100 r6366.197723675813 gons
1000 r63661.97723675813 gons