Turn to Quadrant Converter

Convert turns to quadrants with our free online angle converter.

Quick Answer

1 Turn = 4 quadrants

Formula: Turn × conversion factor = Quadrant

Use the calculator below for instant, accurate conversions.

Our Accuracy Guarantee

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.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Turn to Quadrant Calculator

How to Use the Turn to Quadrant Calculator:

  1. Enter the value you want to convert in the 'From' field (Turn).
  2. The converted value in Quadrant will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Angle category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Turn to Quadrant: Step-by-Step Guide

Converting Turn to Quadrant involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

quad = turn × 4

Example Calculation:

1 turn = 4 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.

What is a Turn and a Quadrant?

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)

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 Turn 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: turns vs quadrants

Explore the typical applications for both Turn (imperial/US) and Quadrant (imperial/US) to understand their common contexts.

Common Uses for 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."

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 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°

Turns to Degrees converter →

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

Turns to Radians converter →

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.

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: Turn to Quadrant

Turn (turn)Quadrant (quad)
0.52
14
1.56
28
520
1040
25100
50200
100400
2501,000
5002,000
1,0004,000

People Also Ask

How do I convert Turn to Quadrant?

To convert Turn to Quadrant, enter the value in Turn 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 Turn to Quadrant?

The conversion factor depends on the specific relationship between Turn 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 Turn?

Yes! You can easily convert Quadrant back to Turn by using the swap button (⇌) in the calculator above, or by visiting our Quadrant to Turn converter page. You can also explore other angle conversions on our category page.

Learn more →

What are common uses for Turn and Quadrant?

Turn 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.

All Angle Conversions

Degree to RadianDegree to GradianDegree to ArcminuteDegree to ArcsecondDegree to TurnDegree to RevolutionDegree to QuadrantDegree to GonDegree to MilRadian to DegreeRadian to GradianRadian to ArcminuteRadian to ArcsecondRadian to TurnRadian to RevolutionRadian to QuadrantRadian to GonRadian to MilGradian to DegreeGradian to RadianGradian to ArcminuteGradian to ArcsecondGradian to TurnGradian to RevolutionGradian to QuadrantGradian to GonGradian to MilArcminute to DegreeArcminute to RadianArcminute to GradianArcminute to ArcsecondArcminute to TurnArcminute to RevolutionArcminute to QuadrantArcminute to GonArcminute to MilArcsecond to DegreeArcsecond to RadianArcsecond to GradianArcsecond to ArcminuteArcsecond to TurnArcsecond to RevolutionArcsecond to QuadrantArcsecond to GonArcsecond to MilTurn to DegreeTurn to RadianTurn to GradianTurn to ArcminuteTurn to ArcsecondTurn to RevolutionTurn to GonTurn to MilRevolution to DegreeRevolution to RadianRevolution to GradianRevolution to ArcminuteRevolution to ArcsecondRevolution to TurnRevolution to QuadrantRevolution to GonRevolution to MilQuadrant to DegreeQuadrant to RadianQuadrant to GradianQuadrant to ArcminuteQuadrant to ArcsecondQuadrant to TurnQuadrant to RevolutionQuadrant to GonQuadrant to MilGon to DegreeGon to RadianGon to GradianGon to ArcminuteGon to ArcsecondGon to TurnGon to RevolutionGon to QuadrantGon to MilMil to DegreeMil to RadianMil to GradianMil to ArcminuteMil to ArcsecondMil to TurnMil to RevolutionMil to QuadrantMil to Gon

Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and TechnologyFundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et MesuresInternational System of Units (SI) definitions and standards

ISO 80000

International Organization for StandardizationQuantities and units international standards series

Last verified: February 19, 2026