Quadrant to Turn Converter
Convert quadrants to turns with our free online angle converter.
Quick Answer
1 Quadrant = 0.25 turns
Formula: Quadrant × conversion factor = Turn
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 Turn Calculator
How to Use the Quadrant to Turn Calculator:
- Enter the value you want to convert in the 'From' field (Quadrant).
- The converted value in Turn 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 Turn: Step-by-Step Guide
Converting Quadrant to Turn involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
turn = quad × 0.25Example Calculation:
1 quad = 0.25 turn
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 Turn?
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 turn = 1 complete circular rotation = 360 degrees = 2π radians ≈ 6.2832 radians
Key conversions:
- 1 turn = 360 degrees
- 1 turn = 2π ≈ 6.2832 radians
- 1 turn = 400 gradians (or gons)
- 1 turn = 4 quadrants
- 1 turn = 1 revolution
- 0.5 turn = 180 degrees (half turn)
- 0.25 turn = 90 degrees (quarter turn)
Symbol: turn (no standard abbreviation)
Note: The Quadrant is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Turn belongs to the imperial/US customary system.
Common Uses and Applications: quadrants vs turns
Explore the typical applications for both Quadrant (imperial/US) and Turn (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 turns
CSS/Web Design: CSS3 transform property uses "turn" unit for rotations (e.g., rotate(0.5turn)). Engineering: Describing screw threads, bolt rotations, valve operations ("turn clockwise 2 turns"). Dance and Sports: Figure skating jumps, gymnastics rotations, dance pirouettes. Everyday Language: "Turn the key 3 turns," "Turn the screw half a turn."
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 Turn (turn)
How do I convert turns to degrees?
Formula: Degrees = Turns × 360
Examples:
- 1 turn = 360°
- 0.5 turns = 180° (half turn)
- 0.25 turns = 90° (quarter turn)
- 0.75 turns = 270° (three-quarter turn)
- 2 turns = 720°
- 3.5 turns = 1260°
How do I convert turns to radians?
Formula: Radians = Turns × 2π ≈ Turns × 6.2832
Examples:
- 1 turn = 2π ≈ 6.283 radians
- 0.5 turns = π ≈ 3.142 radians
- 0.25 turns = π/2 ≈ 1.571 radians
- 2 turns = 4π ≈ 12.566 radians
- 0.75 turns = 3π/2 ≈ 4.712 radians
What's the difference between turns and revolutions?
No practical difference - they're the same measurement:
Turn:
- Emphasizes single rotational action
- Common in everyday language ("turn the knob")
- Used in CSS and web design
- More intuitive for describing motion
Revolution:
- Often used for continuous rotation (RPM = revolutions per minute)
- Common in engineering and physics
- Traditional term in astronomy (planetary revolutions)
- Emphasizes cyclical motion
Both equal: 360 degrees = 2π radians = 1 complete rotation
Choose based on context: "turns" for discrete rotations, "revolutions" for speed and continuous motion.
How do I use turns in CSS?
CSS turn unit makes rotations more readable:
Syntax: transform: rotate(Nturn);
Common patterns:
/* Flip element upside down */
.flip { transform: rotate(0.5turn); }
/* Rotate right 90° */
.rotate-right { transform: rotate(0.25turn); }
/* Full rotation animation */
@keyframes spin {
from { transform: rotate(0turn); }
to { transform: rotate(1turn); }
}
/* Multiple rotations */
.spin-twice { transform: rotate(2turn); }
Benefits:
- More intuitive than degrees (1turn vs 360deg)
- Easier to specify fractions (0.5turn vs 180deg)
- Clearer intent in code
- No need to calculate degree values
Browser support: All modern browsers (Chrome, Firefox, Safari, Edge) support turn unit in CSS3.
Conversion Table: Quadrant to Turn
| Quadrant (quad) | Turn (turn) |
|---|---|
| 0.5 | 0.125 |
| 1 | 0.25 |
| 1.5 | 0.375 |
| 2 | 0.5 |
| 5 | 1.25 |
| 10 | 2.5 |
| 25 | 6.25 |
| 50 | 12.5 |
| 100 | 25 |
| 250 | 62.5 |
| 500 | 125 |
| 1,000 | 250 |
People Also Ask
How do I convert Quadrant to Turn?
To convert Quadrant to Turn, 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 Turn?
The conversion factor depends on the specific relationship between Quadrant and Turn. 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 Turn back to Quadrant?
Yes! You can easily convert Turn back to Quadrant by using the swap button (⇌) in the calculator above, or by visiting our Turn to Quadrant converter page. You can also explore other angle conversions on our category page.
Learn more →What are common uses for Quadrant and Turn?
Quadrant and Turn 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
Learn more about unit conversion with our comprehensive guides:
📚 How to Convert Units
Step-by-step guide to unit conversion with practical examples.
🔢 Conversion Formulas
Essential formulas for angle and other conversions.
⚖️ Metric vs Imperial
Understand the differences between measurement systems.
⚠️ Common Mistakes
Learn about frequent errors and how to avoid them.
All Angle Conversions
Other Angle Units and Conversions
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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