Convert gon to radian
Please provide values below to convert gon [gon] to radian [rad], or Convert radian to gon.
1 gon = 0.015707963268 rad. To convert gon to radian, multiply the value by 0.015707963268; to go the other way, divide by it (1 rad = 63.6619772367 gon). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 gon = 0.015707963268 rad
- 1 rad = 63.6619772367 gon
- 10 gon = 0.15707963268 rad
- 100 gon = 1.5707963268 rad
How to Convert Gon to Radian
1 gon = 0.0157079632679715 rad
Example: convert 15 gon to rad:
15 gon = 15 × 0.0157079632679715 rad = 0.235619449019573 rad
Gon to Radian Conversion Table
| gon | radian |
|---|---|
| 1 gon | 0.015707963268 rad |
| 2 gon | 0.0314159265359 rad |
| 3 gon | 0.0471238898039 rad |
| 5 gon | 0.0785398163399 rad |
| 10 gon | 0.15707963268 rad |
| 20 gon | 0.314159265359 rad |
| 50 gon | 0.785398163399 rad |
| 100 gon | 1.5707963268 rad |
| 500 gon | 7.85398163399 rad |
| 1000 gon | 15.707963268 rad |
Gon
A gon, also known as a grad, is a unit of angular measurement equal to 1/400 of a full circle, used primarily in surveying and engineering.
History/Origin
The gon was introduced in France during the 19th century as part of the metric system to provide a more decimal-friendly division of angles, replacing traditional units like degrees and radians in certain applications.
Current Use
Gons are mainly used in surveying, cartography, and some engineering fields, especially in countries that adopted the metric system, for precise angle measurements and calculations.
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Frequently Asked Questions
What is 1 gon in radian?
1 gon (gon) = 0.015707963268 radian (rad).
How do you convert gon to radian?
Multiply the gon value by 0.015707963268. For example, 25 gon × 0.015707963268 = 0.392699081699 rad.
What is 10 gon in radian?
10 gon = 0.15707963268 rad.
Which unit is larger, the gon or the radian?
The radian is the larger unit: 1 gon equals only 0.015707963268 rad.