Arcsecond to Quadrant Converter
Convert arcseconds to quadrants with our free online angle converter.
Quick Answer
1 Arcsecond = 0.00000309 quadrants
Formula: Arcsecond × conversion factor = Quadrant
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.
Arcsecond to Quadrant Calculator
How to Use the Arcsecond to Quadrant Calculator:
- Enter the value you want to convert in the 'From' field (Arcsecond).
- The converted value in Quadrant 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 Arcsecond to Quadrant: Step-by-Step Guide
Converting Arcsecond to Quadrant involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
quad = ″ × 0.00000308642Example Calculation:
1 ″ = 0.00000309 quad
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 Arcsecond and a Quadrant?
1 arcsecond = 1/60 arcminute = 1/3600 degree ≈ 0.000278° ≈ 0.00000485 radians
Symbol: ″ (double prime) or arcsec
Key conversions:
- 60 arcseconds = 1 arcminute
- 3600 arcseconds = 1 degree
- 1 arcsecond ≈ 4.848 × 10⁻⁶ radians
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")
Note: The Arcsecond is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Quadrant belongs to the imperial/US customary system.
Common Uses and Applications: arcseconds vs quadrants
Explore the typical applications for both Arcsecond (imperial/US) and Quadrant (imperial/US) to understand their common contexts.
Common Uses for arcseconds
Astronomy: Measuring star positions, planetary motion, stellar parallax, and telescope resolution. Surveying: High-precision land measurements and geodetic surveys. GPS Systems: Coordinate precision (1 arcsecond ≈ 30 meters at equator). Optics: Telescope and microscope angular resolution specifications.
When to Use 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.
Additional Unit Information
About Arcsecond (″)
How do I convert arcseconds to degrees?
Formula: Degrees = Arcseconds ÷ 3600
Examples:
- 3600 arcseconds = 1°
- 1800 arcseconds = 0.5°
- 60 arcseconds = 1 arcminute = 0.0167°
- 1 arcsecond ≈ 0.000278°
Arcseconds to Degrees converter →
How do I convert arcseconds to arcminutes?
Formula: Arcminutes = Arcseconds ÷ 60
Examples:
- 60 arcseconds = 1 arcminute
- 120 arcseconds = 2 arcminutes
- 30 arcseconds = 0.5 arcminutes
- 3600 arcseconds = 60 arcminutes = 1°
Arcseconds to Arcminutes converter →
How big is 1 arcsecond on Earth's surface?
At the equator: 1 arcsecond ≈ 30.9 meters ≈ 101 feet
Latitude (north-south): Always ≈ 30.9 m per arcsecond Longitude (east-west): Varies by latitude:
- Equator: 30.9 m
- 45° latitude: 21.9 m
- 60° latitude: 15.5 m
- 80° latitude: 5.4 m
This is why GPS coordinates to arcsecond precision give location within ~30 meters.
What is stellar parallax in arcseconds?
Stellar parallax is the apparent shift in a star's position as Earth orbits the Sun, measured in arcseconds.
Formula: Distance (parsecs) = 1 / Parallax (arcseconds)
Examples:
- Proxima Centauri: 0.768 arcseconds → 1.30 parsecs (4.24 light-years)
- Sirius: 0.379 arcseconds → 2.64 parsecs (8.6 light-years)
- Alpha Centauri A: 0.742 arcseconds → 1.35 parsecs (4.37 light-years)
- Barnard's Star: 0.547 arcseconds → 1.83 parsecs (5.96 light-years)
The parsec (pc) unit was defined as the distance at which 1 AU creates 1 arcsecond parallax.
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°).
Conversion Table: Arcsecond to Quadrant
| Arcsecond (″) | Quadrant (quad) |
|---|---|
| 0.5 | 0 |
| 1 | 0 |
| 1.5 | 0 |
| 2 | 0 |
| 5 | 0 |
| 10 | 0 |
| 25 | 0 |
| 50 | 0 |
| 100 | 0 |
| 250 | 0.001 |
| 500 | 0.002 |
| 1,000 | 0.003 |
People Also Ask
How do I convert Arcsecond to Quadrant?
To convert Arcsecond to Quadrant, enter the value in Arcsecond 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 Arcsecond to Quadrant?
The conversion factor depends on the specific relationship between Arcsecond and Quadrant. 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 Quadrant back to Arcsecond?
Yes! You can easily convert Quadrant back to Arcsecond by using the swap button (⇌) in the calculator above, or by visiting our Quadrant to Arcsecond converter page. You can also explore other angle conversions on our category page.
Learn more →What are common uses for Arcsecond and Quadrant?
Arcsecond and Quadrant 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