Quadrant to Gon Converter
Convert quadrants to gons with our free online angle converter.
Quick Answer
1 Quadrant = 100 gons
Formula: Quadrant × conversion factor = Gon
Use the calculator below for instant, accurate conversions.
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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Quadrant to Gon Calculator
How to Use the Quadrant to Gon Calculator:
- Enter the value you want to convert in the 'From' field (Quadrant).
- The converted value in Gon will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Angle category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Quadrant to Gon: Step-by-Step Guide
Converting Quadrant to Gon involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
gon = quad × 100Example Calculation:
1 quad = 100 gon
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
Need to convert to other angle units?
View all Angle conversions →What is a Quadrant and a Gon?
1 quadrant = 1/4 of a full circle = 90 degrees = π/2 radians ≈ 1.5708 radians
Key conversions:
- 1 quadrant = 90 degrees
- 1 quadrant = π/2 ≈ 1.5708 radians
- 1 quadrant = 100 gradians (or gons)
- 4 quadrants = 360 degrees (full circle)
- 2 quadrants = 180 degrees (straight angle)
Symbol: quad or Q (sometimes written as "right angle")
1 gon = 1/400 of a full circle = 0.9 degrees = 0.01571 radians
Key conversions:
- 100 gons = 90 degrees (right angle)
- 200 gons = 180 degrees (straight angle)
- 400 gons = 360 degrees (full circle)
- 1 gon = 0.9° = π/200 radians
Alternative names: Gradian, grad, grade (same unit, different names)
Note: The Quadrant is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Gon belongs to the imperial/US customary system.
Common Uses and Applications: quadrants vs gons
Explore the typical applications for both Quadrant (imperial/US) and Gon (imperial/US) to understand their common contexts.
Common Uses for quadrants
Coordinate Systems: Cartesian plane divided into four quadrants (I, II, III, IV). Navigation: Compass quadrants (NE, SE, SW, NW) for direction description. Astronomy: Celestial sphere divided into quadrants for star mapping. Geometry: Right angles and perpendicular measurements in construction and design.
When to Use gons
Surveying: Land surveys and topographic mapping in Europe, especially France, Germany, Switzerland - THE standard in continental Europe. Civil Engineering: Construction projects, road gradients, slope calculations - preferred by engineers trained in metric system. Military: Artillery targeting and ballistics in some European armies - standardized for ballistics calculations. Cartography: Map making and coordinate systems in countries using metric system - seamless with metric philosophy.
Additional Unit Information
About Quadrant (quad)
How do I convert quadrants to degrees?
Formula: Degrees = Quadrants × 90
Examples:
- 1 quadrant = 90°
- 2 quadrants = 180°
- 3 quadrants = 270°
- 4 quadrants = 360°
- 0.5 quadrants = 45°
Quadrants to Degrees converter →
How do I convert quadrants to radians?
Formula: Radians = Quadrants × (π/2) ≈ Quadrants × 1.5708
Examples:
- 1 quadrant = π/2 ≈ 1.571 radians
- 2 quadrants = π ≈ 3.142 radians
- 3 quadrants = 3π/2 ≈ 4.712 radians
- 4 quadrants = 2π ≈ 6.283 radians
- 0.5 quadrants = π/4 ≈ 0.785 radians
Quadrants to Radians converter →
What are the four quadrants in a coordinate plane?
Quadrant system divides the Cartesian plane using x and y axes:
Quadrant I (First): x > 0, y > 0
- Angles: 0° to 90° (or 0 to π/2 radians)
- Example point: (3, 4)
Quadrant II (Second): x < 0, y > 0
- Angles: 90° to 180° (or π/2 to π radians)
- Example point: (-3, 4)
Quadrant III (Third): x < 0, y < 0
- Angles: 180° to 270° (or π to 3π/2 radians)
- Example point: (-3, -4)
Quadrant IV (Fourth): x > 0, y < 0
- Angles: 270° to 360° (or 3π/2 to 2π radians)
- Example point: (3, -4)
Axes: Points on x or y axes are not in any quadrant.
Why is a right angle called a quadrant?
Etymology: "Quadrant" comes from Latin "quadrans" meaning "fourth part."
Historical context:
- A right angle is 1/4 of a full circle rotation
- Ancient navigational instruments called "quadrants" were quarter-circle shaped
- The term emphasizes the fractional relationship: 1 quadrant = 1/4 circle
Modern usage: While "right angle" is more common in everyday geometry, "quadrant" is still used in:
- Coordinate systems (Quadrant I, II, III, IV)
- Navigation and surveying
- Astronomy and celestial mechanics
- Mathematical analysis and calculus
The term "quadrant" emphasizes the measurement as a fraction of a circle, while "right angle" emphasizes the geometric perpendicularity (90°).
About Gon (gon)
How do I convert gons to degrees?
Formula: Degrees = Gons × 0.9 (or Gons × 9/10)
Examples:
- 100 gons = 90°
- 200 gons = 180°
- 400 gons = 360°
- 50 gons = 45°
- 1 gon = 0.9°
How do I convert degrees to gons?
Formula: Gons = Degrees ÷ 0.9 (or Degrees × 10/9)
Examples:
- 90° = 100 gons
- 45° = 50 gons
- 180° = 200 gons
- 360° = 400 gons
- 1° = 1.111 gons
Why use gons instead of degrees?
Decimal convenience: Base-10 system makes calculations easier without fractions.
Advantages:
- Right angle = 100 (clean decimal)
- Easier to divide: 400 ÷ 4 = 100, 400 ÷ 8 = 50
- Better for percentage calculations
- Aligns with metric system philosophy
- Simpler mental arithmetic
Metric integration: Designed to work with decimal measurement system used in surveying.
Are gons and gradians the same?
Yes, identical units with different names:
- Gon: Modern term, ISO standard (ISO 31-1)
- Gradian: Traditional term, still widely used
- Grad: Abbreviated form, common in calculators
- Grade: French term (same unit)
All refer to 1/400 of a circle. The term "gon" is preferred in modern standards to avoid confusion with other uses of "grade" (like road gradients or academic grades).
Symbol variations: gon, grad, or superscript "g" (e.g., 50ᵍ)
Conversion Table: Quadrant to Gon
| Quadrant (quad) | Gon (gon) |
|---|---|
| 0.5 | 50 |
| 1 | 100 |
| 1.5 | 150 |
| 2 | 200 |
| 5 | 500 |
| 10 | 1,000 |
| 25 | 2,500 |
| 50 | 5,000 |
| 100 | 10,000 |
| 250 | 25,000 |
| 500 | 50,000 |
| 1,000 | 100,000 |
People Also Ask
How do I convert Quadrant to Gon?
To convert Quadrant to Gon, enter the value in Quadrant in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our angle converter page to convert between other units in this category.
Learn more →What is the conversion factor from Quadrant to Gon?
The conversion factor depends on the specific relationship between Quadrant and Gon. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Gon back to Quadrant?
Yes! You can easily convert Gon back to Quadrant by using the swap button (⇌) in the calculator above, or by visiting our Gon to Quadrant converter page. You can also explore other angle conversions on our category page.
Learn more →What are common uses for Quadrant and Gon?
Quadrant and Gon are both standard units used in angle measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our angle converter for more conversion options.
For more angle conversion questions, visit our FAQ page or explore our conversion guides.
Helpful Conversion Guides
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📚 How to Convert Units
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🔢 Conversion Formulas
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⚖️ Metric vs Imperial
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⚠️ Common Mistakes
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Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Fundamental physical constants and unit conversions
Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards
International Organization for Standardization — Quantities and units international standards series
Last verified: February 19, 2026