Convert degree to grad
Please provide values below to convert degree [°] to grad [^g], or Convert grad to degree.
1 ° = 1.11111111111 ^g. To convert degree to grad, multiply the value by 1.11111111111; to go the other way, divide by it (1 ^g = 0.9 °). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 ° = 1.11111111111 ^g
- 1 ^g = 0.9 °
- 10 ° = 11.1111111111 ^g
- 100 ° = 111.111111111 ^g
How to Convert Degree to Grad
1 ° = 1.11111111111111 ^g
Example: convert 15 ° to ^g:
15 ° = 15 × 1.11111111111111 ^g = 16.6666666666667 ^g
Degree to Grad Conversion Table
| degree | grad |
|---|---|
| 1 ° | 1.11111111111 ^g |
| 2 ° | 2.22222222222 ^g |
| 3 ° | 3.33333333333 ^g |
| 5 ° | 5.55555555556 ^g |
| 10 ° | 11.1111111111 ^g |
| 20 ° | 22.2222222222 ^g |
| 50 ° | 55.5555555556 ^g |
| 100 ° | 111.111111111 ^g |
| 500 ° | 555.555555556 ^g |
| 1000 ° | 1111.11111111 ^g |
Degree
A degree (symbol: °) is a unit of measurement for angles, representing 1/360th of a full circle.
History/Origin
The degree originated in ancient Babylonian astronomy, where the circle was divided into 360 parts, possibly due to the approximate number of days in a year. It has been used since antiquity for measuring angles and geographic coordinates.
Current Use
Degrees are widely used in geometry, navigation, engineering, and various sciences to measure angles, with applications in compass readings, trigonometry, and geographic positioning.
Grad
A grad, also known as a gon, is a unit of angular measurement equal to 1/400 of a full circle, or 0.9 degrees.
History/Origin
The grad was introduced in the 19th century as part of the metric system for surveying and military purposes, primarily used in Europe. It was designed to simplify calculations related to angles and bearings.
Current Use
Today, the grad is used mainly in surveying, cartography, and military applications in some countries. It is also employed in certain scientific and engineering contexts where a decimal-based angular unit is preferred.
Frequently Asked Questions
What is 1 degree in grad?
1 degree (°) = 1.11111111111 grad (^g).
How do you convert degree to grad?
Multiply the degree value by 1.11111111111. For example, 25 ° × 1.11111111111 = 27.7777777778 ^g.
What is 10 degree in grad?
10 ° = 11.1111111111 ^g.
Which unit is larger, the degree or the grad?
The degree is the larger unit: 1 ° = 1.11111111111 ^g.