Follow these steps to convert given angle from the units of Quadrants to the units of Turns.
Enter the input Quadrants value in the text field.
The calculator converts the given Quadrants into Turns in realtime ⌚ using the conversion formula, and displays under the Turns label. You do not need to click any button. If the input changes, Turns value is re-calculated, just like that.
You may copy the resulting Turns value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Quadrants to Turns?
The formula to convert given angle from Quadrants to Turns is:
Angle(Turns) = Angle(Quadrants) / 4
Substitute the given value of angle in quadrants, i.e., Angle(Quadrants) in the above formula and simplify the right-hand side value. The resulting value is the angle in turns, i.e., Angle(Turns).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a map is divided into 4 quadrants for detailed navigation. Convert this section from quadrants to Turns.
Answer:
Given:
The angle in quadrants is:
Angle(Quadrants) = 1
Formula:
The formula to convert angle from quadrants to turns is:
Angle(Turns) = Angle(Quadrants) / 4
Substitution:
Substitute given weight Angle(Quadrants) = 1 in the above formula.
Angle(Turns) = 1 / 4
Angle(Turns) = 0.25
Final Answer:
Therefore, 1 quadrant is equal to 0.25 turn.
The angle is 0.25 turn, in turns.
2
Consider that a pilot uses 2 quadrants to determine the aircraft's position. Convert this section from quadrants to Turns.
Answer:
Given:
The angle in quadrants is:
Angle(Quadrants) = 2
Formula:
The formula to convert angle from quadrants to turns is:
Angle(Turns) = Angle(Quadrants) / 4
Substitution:
Substitute given weight Angle(Quadrants) = 2 in the above formula.
Angle(Turns) = 2 / 4
Angle(Turns) = 0.5
Final Answer:
Therefore, 2 quadrant is equal to 0.5 turn.
The angle is 0.5 turn, in turns.
Quadrants to Turns Conversion Table
The following table gives some of the most used conversions from Quadrants to Turns.
Quadrants (quadrant)
Turns (turn)
0 quadrant
0 turn
1 quadrant
0.25turn
10 quadrant
2.5turn
45 quadrant
11.25turn
90 quadrant
22.5turn
180 quadrant
45 turn
360 quadrant
90 turn
1000 quadrant
250 turn
Quadrants
Quadrants are a unit of angular measurement representing one-quarter of a full circle, equivalent to 90 degrees or π/2 radians. Quadrants are commonly used in geometry, astronomy, and navigation to describe and analyze positions, angles, and directional orientations within a defined space.
Turns
A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Quadrants to Turns in Angle?
The formula to convert Quadrants to Turns in Angle is:
Quadrants / 4
2. Is this tool free or paid?
This Angle conversion tool, which converts Quadrants to Turns, is completely free to use.
3. How do I convert Angle from Quadrants to Turns?
To convert Angle from Quadrants to Turns, you can use the following formula:
Quadrants / 4
For example, if you have a value in Quadrants, you substitute that value in place of Quadrants in the above formula, and solve the mathematical expression to get the equivalent value in Turns.
{
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"y_slug": "turns",
"x": "quadrant",
"y": "turn",
"x_desc": "Quadrants",
"y_desc": "Turns",
"category": "Angle",
"symbol": "m",
"formula": "x / 4",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a map is divided into 4 quadrants for detailed navigation.<br>Convert this section from quadrants to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in quadrants is:</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 1</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from quadrants to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Quadrants)</sub></span> / 4</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Quadrants)</sub> = 1</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>1</span> / 4</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1 quadrant</strong> is equal to <strong>0.25 turn</strong>.</p>\n <p>The angle is <strong>0.25 turn</strong>, in turns.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a pilot uses 2 quadrants to determine the aircraft's position.<br>Convert this section from quadrants to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in quadrants is:</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from quadrants to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Quadrants)</sub></span> / 4</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Quadrants)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>2</span> / 4</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.5</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 quadrant</strong> is equal to <strong>0.5 turn</strong>.</p>\n <p>The angle is <strong>0.5 turn</strong>, in turns.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Quadrants</span> to <span class=\"y\">Turns</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Quadrants to Turns.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Quadrants (<span class=\"unit\">quadrant</span>)</th><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">quadrant</span></td><td>0 <span class=\"unit\">turn</span></td></tr><tr><td>1 <span class=\"unit\">quadrant</span></td><td>0<span>.25</span> <span class=\"unit\">turn</span></td></tr><tr><td>10 <span class=\"unit\">quadrant</span></td><td>2<span>.5</span> <span class=\"unit\">turn</span></td></tr><tr><td>45 <span class=\"unit\">quadrant</span></td><td>11<span>.25</span> <span class=\"unit\">turn</span></td></tr><tr><td>90 <span class=\"unit\">quadrant</span></td><td>22<span>.5</span> <span class=\"unit\">turn</span></td></tr><tr><td>180 <span class=\"unit\">quadrant</span></td><td>45 <span class=\"unit\">turn</span></td></tr><tr><td>360 <span class=\"unit\">quadrant</span></td><td>90 <span class=\"unit\">turn</span></td></tr><tr><td>1000 <span class=\"unit\">quadrant</span></td><td>250 <span class=\"unit\">turn</span></td></tr></table>",
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"y_long_desc": "A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.",
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