Convert Degrees to Gradians
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Science
About Angle Conversions
Angles run through math, engineering, navigation, and astronomy. The degree, split into 60 arcminutes and 3,600 arcseconds, has been the standard since Babylonian mathematics. The radian, the SI unit, ties arc length straight to radius and is what makes calculus on circles clean: a full turn is exactly 2π radians. Gradians, or gons, cut a right angle into exactly 100 parts, which is why surveyors and civil engineers across continental Europe favor them. Revolutions, full turns, show up in mechanical work for rotation speed. The identities below are exact: 1 revolution = 360° = 2π rad = 400 gon.
Quick Conversions
| Unit Name | Symbol | Per 1 Degree |
|---|---|---|
| Arcminute | ′ | 60 |
| Arcsecond | ″ | 3600 |
| Degree | ° | 1 |
| Gradian | gon | 1.11111 |
| Radian | rad | 0.0174533 |
| Revolution | rev | 0.00277778 |
Frequently Asked Questions
How do I convert Degrees to Gradians?
To convert Degrees to Gradians, use the conversion where 1 Degree (°) = 1.11111 Gradians (gon). For example, 1 Degree = 1.11111 Gradians.
What are common Degree to Gradian conversions?
Here are common conversions: 1 Degrees = 1.11111 Gradians, 5 Degrees = 5.55556 Gradians, 10 Degrees = 11.1111 Gradians, 25 Degrees = 27.7778 Gradians, 50 Degrees = 55.5556 Gradians, 100 Degrees = 111.111 Gradians.
When would I need to convert Degrees to Gradians?
Converting between these units is common in international trade, scientific research, and everyday situations where different measurement systems are used.
How precise are the conversions?
All conversions use exact factors verified against NIST and ISO standards with up to 10 significant figures of precision. Results are calculated using IEEE 754 double-precision arithmetic, which provides approximately 15-17 significant digits. For temperature and other non-linear conversions, exact formulas are used rather than approximations.