deg to grad Converter
Convert deg to grad instantly with our precise angle converter. Perfect for surveying, engineering, and mathematics requiring metric angle units.
Degree
Gradian
How to convert deg to grad
Transform angular measurements from degrees to gradians in three quick steps.
Enter the Degree Value
Type or paste the angle you want to convert into the input field.
Apply the Conversion Factor
The tool automatically multiplies the degree value by 10/9 to obtain gradians.
View the Gradian Result
The converted angle appears instantly with high decimal precision.
Why use this deg to grad Converter?
Save time and avoid manual math when working between two angular systems.
The Mathematical Formula
grad = deg × (10/9). Since a full circle equals 360 degrees or 400 gradians, each degree scales to 1.1111 gradians.
Decimal-Friendly Output
Gradians divide a circle into 100 equal parts, making calculations cleaner in surveying and mapping tasks.
Instant and Precise Results
Get accurate conversions in milliseconds without rounding errors or manual calculations.
Quick Reference
| Degree | Gradian |
|---|---|
| 1 deg | 1.1111 grad |
| 2 deg | 2.2222 grad |
| 5 deg | 5.5556 grad |
| 10 deg | 11.1111 grad |
| 20 deg | 22.2222 grad |
| 50 deg | 55.5556 grad |
Practical Examples of deg to grad
Real-world scenarios where this conversion is useful.
Right Angle Conversion
90 degrees equals exactly 100 gradians, useful in construction layout work.
Compass Bearing
45 degrees (northeast) converts to 50 gradians for European cartographic standards.
Full Rotation
360 degrees translates to 400 gradians, the complete circle in metric angle units.
Slope Angle in Surveying
A 27 degree incline becomes 30 gradians, simplifying percentage-based slope readings.
Frequently Asked Questions
Common queries regarding this specific conversion.
Q.What is the difference between deg and grad?
Degrees divide a circle into 360 equal parts, while gradians divide it into 400 parts. Gradians are part of the metric system.
Q.How do you convert degrees to gradians manually?
Multiply the degree value by 10 and divide the result by 9. For instance, 54 deg × 10 ÷ 9 = 60 grad.
Q.Where are gradians commonly used?
Gradians appear in surveying, civil engineering, and some European military artillery systems where metric precision matters.
Q.Why do some countries prefer gradians over degrees?
Gradians simplify decimal-based calculations because 100 grad equals a right angle, making percentage conversions straightforward.
Discover Related Tools
Need to convert back? Use the reverse Gradian to Degree calculator. For other measurements, explore our complete suite of Angle & Rotation Converters or the full Unit Converter Hub.