Degree to Gradian Converter
Convert Degree to Gradian — free, instant, accurate. Part of Angle converters.
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Degree to Gradian: values and formula
1 Degree = 1.1111111111 Gradian, and 1 Gradian = 0.9 Degree. To convert a angle value from Degree to Gradian, multiply it by 1.1111111111. For example, 10 Degree equals 11.111111111 Gradian, and 250 Degree equals 277.77777778 Gradian.
| Degree | Gradian |
|---|---|
| 1 Degree | 1.1111111111 Gradian |
| 2 Degree | 2.2222222222 Gradian |
| 5 Degree | 5.5555555556 Gradian |
| 10 Degree | 11.111111111 Gradian |
| 25 Degree | 27.777777778 Gradian |
| 50 Degree | 55.555555556 Gradian |
| 100 Degree | 111.11111111 Gradian |
| 500 Degree | 555.55555556 Gradian |
| 1000 Degree | 1111.1111111 Gradian |
When to use the Degree to Gradian converter
- Mathematics and trigonometry — switching between degrees and radians.
- Surveying — using gradians for slope and bearing.
- Astronomy — measuring small angles in arcminutes and arcseconds.
- Navigation — reading bearings in degrees.
A short history of angle units
Angles were originally divided into 360 degrees by Babylonian astronomers using their base-60 number system. The radian, defined as the angle subtended by an arc equal to the radius, emerged in mathematical analysis in the 18th century. The gradian (or gon) divides a quarter circle into 100 parts and survives in surveying.
Common mistakes when converting angle
Calculator mode
Setting the calculator to the wrong mode (DEG vs RAD) is the most common source of trig errors.
Arcminute vs minute
1 arcminute is 1/60 of a degree (an angle), not a unit of time.
Gradian misuse
90° equals 100 gradians, not 90 or 360. Surveyors use it because right angles are round numbers.
Frequently asked questions
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