Follow these steps to convert given angle from the units of Gradians to the units of Turns.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians 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 Gradians to Turns?
The formula to convert given angle from Gradians to Turns is:
Angle(Turns) = Angle(Gradians) / 400
Substitute the given value of angle in gradians, i.e., Angle(Gradians) 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 precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Turns.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to turns is:
Angle(Turns) = Angle(Gradians) / 400
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Turns) = 100 / 400
Angle(Turns) = 0.25
Final Answer:
Therefore, 100 gon is equal to 0.25 turn.
The angle is 0.25 turn, in turns.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Turns.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to turns is:
Angle(Turns) = Angle(Gradians) / 400
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Turns) = 90 / 400
Angle(Turns) = 0.225
Final Answer:
Therefore, 90 gon is equal to 0.225 turn.
The angle is 0.225 turn, in turns.
Gradians to Turns Conversion Table
The following table gives some of the most used conversions from Gradians to Turns.
Gradians (gon)
Turns (turn)
0 gon
0 turn
1 gon
0.0025turn
10 gon
0.025turn
45 gon
0.1125turn
90 gon
0.225turn
180 gon
0.45turn
360 gon
0.9turn
1000 gon
2.5turn
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.
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 Gradians to Turns in Angle?
The formula to convert Gradians to Turns in Angle is:
Gradians / 400
2. Is this tool free or paid?
This Angle conversion tool, which converts Gradians to Turns, is completely free to use.
3. How do I convert Angle from Gradians to Turns?
To convert Angle from Gradians to Turns, you can use the following formula:
Gradians / 400
For example, if you have a value in Gradians, you substitute that value in place of Gradians in the above formula, and solve the mathematical expression to get the equivalent value in Turns.
{
"conversion": "gradians-turns",
"x_slug": "gradians",
"y_slug": "turns",
"x": "gon",
"y": "turn",
"x_desc": "Gradians",
"y_desc": "Turns",
"category": "Angle",
"symbol": "m",
"formula": "x / 400",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a precision engineering tool adjusts by 100 gradians.<br>Convert this angle from gradians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 100</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>100</span> / 400</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>100 gon</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 civil engineer designs a slope with an angle of 90 gradians.<br>Convert this angle from gradians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 90</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 90</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>90</span> / 400</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.225</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>0.225 turn</strong>.</p>\n <p>The angle is <strong>0.225 turn</strong>, in turns.</p>\n </div>\n ",
"structured_data_1": "\n<script type=\"application/ld+json\">\n{\n \"@context\": \"https://schema.org\",\n \"@type\": \"WebApplication\",\n \"name\": \"Gradians to Turns Unit Converter\",\n \"url\": \"https://convertonline.org/unit/?convert=kg-gram\",\n \"applicationCategory\": \"Utility\",\n \"operatingSystem\": \"All\",\n \"description\": \"Convert Gradians (gon) to Turns (turn) using this online Angle unit converter. Conversion formula, real life examples, conversion tables, etc.\",\n \"softwareVersion\": \"1.0\",\n \"offers\": {\n \"@type\": \"Offer\",\n \"price\": \"0.00\",\n \"priceCurrency\": \"USD\"\n },\n \"creator\": {\n \"@type\": \"Organization\",\n \"name\": \"ConvertOnline\",\n \"url\": \"https://convertonline.org\"\n },\n \"featureList\": [\n \"Convert Gradians to Turns\",\n \"Instant conversion results\",\n \"Free to use\"\n ],\n \"keywords\": \"gon to turn, Gradians to Turns converter, unit conversion, Angle conversion\"\n}\n</script>\n ",
"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">Turns</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to Turns.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">turn</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>0<span>.0025</span> <span class=\"unit\">turn</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>0<span>.025</span> <span class=\"unit\">turn</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>0<span>.1125</span> <span class=\"unit\">turn</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>0<span>.225</span> <span class=\"unit\">turn</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>0<span>.45</span> <span class=\"unit\">turn</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>0<span>.9</span> <span class=\"unit\">turn</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>2<span>.5</span> <span class=\"unit\">turn</span></td></tr></table>",
"units": [
[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
],
[
"minutes",
"Minutes",
"'"
],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
],
[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
],
[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
],
[
"right_angles",
"Right Angles",
"right angle"
],
[
"milliradians",
"Milli-radians",
"mrad"
],
[
"quadrants",
"Quadrants",
"quadrant"
],
[
"sextants",
"Sextants",
"sextant"
],
[
"pi_radians",
"π Radians",
"π radians"
],
[
"zam",
"Zam",
"zam"
]
],
"x_long_desc": "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.",
"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."
}