Follow these steps to convert given angle from the units of Gradians to the units of Quadrants.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians into Quadrants in realtime ⌚ using the conversion formula, and displays under the Quadrants label. You do not need to click any button. If the input changes, Quadrants value is re-calculated, just like that.
You may copy the resulting Quadrants 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 Quadrants?
The formula to convert given angle from Gradians to Quadrants is:
Angle(Quadrants) = Angle(Gradians) / 100
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 quadrants, i.e., Angle(Quadrants).
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 Quadrants.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to quadrants is:
Angle(Quadrants) = Angle(Gradians) / 100
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Quadrants) = 100 / 100
Angle(Quadrants) = 1
Final Answer:
Therefore, 100 gon is equal to 1 quadrant.
The angle is 1 quadrant, in quadrants.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Quadrants.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to quadrants is:
Angle(Quadrants) = Angle(Gradians) / 100
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Quadrants) = 90 / 100
Angle(Quadrants) = 0.9
Final Answer:
Therefore, 90 gon is equal to 0.9 quadrant.
The angle is 0.9 quadrant, in quadrants.
Gradians to Quadrants Conversion Table
The following table gives some of the most used conversions from Gradians to Quadrants.
Gradians (gon)
Quadrants (quadrant)
0 gon
0 quadrant
1 gon
0.01quadrant
10 gon
0.1quadrant
45 gon
0.45quadrant
90 gon
0.9quadrant
180 gon
1.8quadrant
360 gon
3.6quadrant
1000 gon
10 quadrant
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Gradians to Quadrants in Angle?
The formula to convert Gradians to Quadrants in Angle is:
Gradians / 100
2. Is this tool free or paid?
This Angle conversion tool, which converts Gradians to Quadrants, is completely free to use.
3. How do I convert Angle from Gradians to Quadrants?
To convert Angle from Gradians to Quadrants, you can use the following formula:
Gradians / 100
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 Quadrants.
{
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"y_desc": "Quadrants",
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"symbol": "m",
"formula": "x / 100",
"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 Quadrants.</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 quadrants is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Quadrants)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 100</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>(Quadrants)</sub></span> = <span>100</span> / 100</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 1</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>1 quadrant</strong>.</p>\n <p>The angle is <strong>1 quadrant</strong>, in quadrants.</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 Quadrants.</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 quadrants is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Quadrants)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 100</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>(Quadrants)</sub></span> = <span>90</span> / 100</p>\n <p class=\"step\"><span>Angle<sub>(Quadrants)</sub></span> = 0.9</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>0.9 quadrant</strong>.</p>\n <p>The angle is <strong>0.9 quadrant</strong>, in quadrants.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">Quadrants</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to Quadrants.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">Quadrants (<span class=\"unit\">quadrant</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">quadrant</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>0<span>.01</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>0<span>.1</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>0<span>.45</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>0<span>.9</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>1<span>.8</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>3<span>.6</span> <span class=\"unit\">quadrant</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>10 <span class=\"unit\">quadrant</span></td></tr></table>",
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