Angles are measured in degrees, radians, and gradians. While gradians are widely used in surveying, engineering, and construction, degrees are the more familiar unit in everyday applications.
The Gradians to Degrees Calculator helps you quickly and accurately convert gradians (g or gon) into degrees, saving time and eliminating manual errors.
What is a Gradian?
A gradian (g, gon, or grade) is a unit of angle measurement where a full circle is divided into 400 gradians.
- 1 full circle = 400 g
- Gradians are commonly used in surveying, civil engineering, and cartography, as calculations in decimals of 100 are easier to work with.
What is a Degree?
A degree (°) is a standard unit of angle measurement.
- 1 full circle = 360°
- Degrees are widely used in geometry, navigation, construction, and daily life applications.
Gradians to Degrees Conversion Formula
To convert gradians into degrees, use the formula:
Formula:
degrees = gradians × (360 / 400)
Simplified:
degrees = gradians × 9 / 10
Example Conversions
- Convert 100 g to degrees
- degrees = 100 × 9 / 10 = 90°
- Convert 200 g to degrees
- degrees = 200 × 9 / 10 = 180°
- Convert 50 g to degrees
- degrees = 50 × 9 / 10 = 45°
- Convert 400 g to degrees
- degrees = 400 × 9 / 10 = 360°
- Convert 33.333 g to degrees
- degrees ≈ 33.333 × 9 / 10 ≈ 30°
How to Use the Gradians to Degrees Calculator
Using the calculator is simple:
- Enter the gradian value – Type the angle in gradians.
- Click Convert – The tool instantly calculates the equivalent in degrees.
- View the result – The angle in degrees is displayed for immediate use.
This tool is especially useful for engineers, surveyors, students, and architects who require accurate angle measurements.
Why Convert Gradians to Degrees?
- Surveying & Civil Engineering – Degrees are often preferred in reporting and documentation.
- Education – Helps students understand alternative angle measurement systems.
- Navigation & Mapping – Degrees are more commonly used on maps and charts.
- Engineering Calculations – Degrees are easier to interpret in many formulas.
- Precision Work – Conversion allows interoperability between tools using different units.
Gradians to Degrees Reference Table
| Gradians (g) | Degrees (°) |
|---|---|
| 0 g | 0° |
| 33.333 g | 30° |
| 50 g | 45° |
| 66.667 g | 60° |
| 100 g | 90° |
| 133.333 g | 120° |
| 150 g | 135° |
| 200 g | 180° |
| 300 g | 270° |
| 400 g | 360° |
Real-World Applications
- Surveying – Convert gradians from field instruments to degrees for reporting.
- Construction & Architecture – Accurate conversions for building angles and layouts.
- Engineering – Used in civil, mechanical, and electrical projects for precise measurements.
- Navigation – Maps and charts often require degrees instead of gradians.
- Education – Students learn the relationship between different angle units.
Benefits of Using the Calculator
- Instant Conversion – Provides results in seconds.
- Accurate – Eliminates errors from manual calculations.
- Time-Saving – No need to memorize formulas.
- User-Friendly – Suitable for beginners, professionals, and students.
- Supports Any Gradian Value – Works with fractional, decimal, or large values.
20 Frequently Asked Questions (FAQs)
Q1. How do you convert gradians to degrees?
A: Multiply the gradian value by 9/10.
Q2. What is 100 g in degrees?
A: 100 g = 90°
Q3. What is 200 g in degrees?
A: 200 g = 180°
Q4. Why use degrees instead of gradians?
A: Degrees are more familiar and widely used in everyday applications.
Q5. What is the formula for gradians to degrees?
A: degrees = gradians × 360 / 400 or degrees × 9 / 10
Q6. How many degrees are in a full circle?
A: 360°
Q7. Can fractional gradians be converted?
A: Yes, decimals or fractions are supported.
Q8. What is 50 g in degrees?
A: 50 g = 45°
Q9. Is this calculator useful for engineers?
A: Yes, for accurate angle conversions in surveying and construction.
Q10. Can negative gradians be converted?
A: Yes, negative angles indicate clockwise rotation.
Q11. What is 400 g in degrees?
A: 400 g = 360°
Q12. Can this calculator be used for educational purposes?
A: Yes, it helps students understand angle unit conversions.
Q13. How do I convert degrees back to gradians?
A: Multiply degrees by 10 / 9.
Q14. What is 33.333 g in degrees?
A: 33.333 g ≈ 30°
Q15. Are gradians widely used today?
A: Mostly in surveying, engineering, and specialized fields.
Q16. Can this calculator handle angles beyond 400 g?
A: Yes, it supports any gradian value.
Q17. Is this calculator free?
A: Yes, it provides instant and accurate results at no cost.
Q18. What is 150 g in degrees?
A: 150 g = 135°
Q19. What is the difference between gradians and degrees?
A: Gradians divide a circle into 400 parts, degrees divide it into 360 parts.
Q20. Why use a Gradians to Degrees calculator?
A: For fast, accurate, and convenient conversion without manual calculations.
Final Thoughts
The Gradians to Degrees Calculator is a powerful tool for surveyors, engineers, students, and architects. Converting gradians to degrees becomes fast and precise, making it invaluable for engineering projects, construction planning, and educational purposes.