Follow these steps to convert given angle from the units of Turns to the units of Gradians.
Enter the input Turns value in the text field.
The calculator converts the given Turns into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians 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 Turns to Gradians?
The formula to convert given angle from Turns to Gradians is:
Angle(Gradians) = Angle(Turns) × 400
Substitute the given value of angle in turns, i.e., Angle(Turns) in the above formula and simplify the right-hand side value. The resulting value is the angle in gradians, i.e., Angle(Gradians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a turntable rotates by 0.25 turns to play a vinyl record. Convert this rotation from turns to Gradians.
Answer:
Given:
The angle in turns is:
Angle(Turns) = 0.25
Formula:
The formula to convert angle from turns to gradians is:
Angle(Gradians) = Angle(Turns) × 400
Substitution:
Substitute given weight Angle(Turns) = 0.25 in the above formula.
Angle(Gradians) = 0.25 × 400
Angle(Gradians) = 100
Final Answer:
Therefore, 0.25 turn is equal to 100 gon.
The angle is 100 gon, in gradians.
2
Consider that a wind turbine completes 2 turns in a light breeze. Convert this rotation from turns to Gradians.
Answer:
Given:
The angle in turns is:
Angle(Turns) = 2
Formula:
The formula to convert angle from turns to gradians is:
Angle(Gradians) = Angle(Turns) × 400
Substitution:
Substitute given weight Angle(Turns) = 2 in the above formula.
Angle(Gradians) = 2 × 400
Angle(Gradians) = 800
Final Answer:
Therefore, 2 turn is equal to 800 gon.
The angle is 800 gon, in gradians.
Turns to Gradians Conversion Table
The following table gives some of the most used conversions from Turns to Gradians.
Turns (turn)
Gradians (gon)
0 turn
0 gon
1 turn
400 gon
10 turn
4000 gon
45 turn
18000 gon
90 turn
36000 gon
180 turn
72000 gon
360 turn
144000 gon
1000 turn
400000 gon
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.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Turns to Gradians in Angle?
The formula to convert Turns to Gradians in Angle is:
Turns * 400
2. Is this tool free or paid?
This Angle conversion tool, which converts Turns to Gradians, is completely free to use.
3. How do I convert Angle from Turns to Gradians?
To convert Angle from Turns to Gradians, you can use the following formula:
Turns * 400
For example, if you have a value in Turns, you substitute that value in place of Turns in the above formula, and solve the mathematical expression to get the equivalent value in Gradians.
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"y_desc": "Gradians",
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"symbol": "m",
"formula": "x * 400",
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"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a turntable rotates by 0.25 turns to play a vinyl record.<br>Convert this rotation from turns to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in turns is:</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.25</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from turns to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Turns)</sub> = 0.25</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>0.25</span> × 400</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.25 turn</strong> is equal to <strong>100 gon</strong>.</p>\n <p>The angle is <strong>100 gon</strong>, in gradians.</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 wind turbine completes 2 turns in a light breeze.<br>Convert this rotation from turns to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in turns is:</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from turns to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Turns)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>2</span> × 400</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 800</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 turn</strong> is equal to <strong>800 gon</strong>.</p>\n <p>The angle is <strong>800 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Turns</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Turns to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">turn</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">turn</span></td><td>400 <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">turn</span></td><td>4000 <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">turn</span></td><td>18000 <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">turn</span></td><td>36000 <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">turn</span></td><td>72000 <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">turn</span></td><td>144000 <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">turn</span></td><td>400000 <span class=\"unit\">gon</span></td></tr></table>",
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