Convert radian to gon
Please provide values below to convert radian [rad] to gon [gon], or Convert gon to radian.
1 rad = 63.6619772367 gon. To convert radian to gon, multiply the value by 63.6619772367; to go the other way, divide by it (1 gon = 0.015707963268 rad). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 rad = 63.6619772367 gon
- 1 gon = 0.015707963268 rad
- 10 rad = 636.619772367 gon
- 100 rad = 6366.19772367 gon
How to Convert Radian to Gon
1 rad = 63.6619772366667 gon
Example: convert 15 rad to gon:
15 rad = 15 × 63.6619772366667 gon = 954.92965855 gon
Radian to Gon Conversion Table
| radian | gon |
|---|---|
| 1 rad | 63.6619772367 gon |
| 2 rad | 127.323954473 gon |
| 3 rad | 190.98593171 gon |
| 5 rad | 318.309886183 gon |
| 10 rad | 636.619772367 gon |
| 20 rad | 1273.23954473 gon |
| 50 rad | 3183.09886183 gon |
| 100 rad | 6366.19772367 gon |
| 500 rad | 31830.9886183 gon |
| 1000 rad | 63661.9772367 gon |
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.
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.
Frequently Asked Questions
What is 1 radian in gon?
1 radian (rad) = 63.6619772367 gon (gon).
How do you convert radian to gon?
Multiply the radian value by 63.6619772367. For example, 25 rad × 63.6619772367 = 1591.54943092 gon.
What is 10 radian in gon?
10 rad = 636.619772367 gon.
Which unit is larger, the radian or the gon?
The radian is the larger unit: 1 rad = 63.6619772367 gon.