Follow these steps to convert given angle from the units of Minutes to the units of Gradians.
Enter the input Minutes value in the text field.
The calculator converts the given Minutes 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 Minutes to Gradians?
The formula to convert given angle from Minutes to Gradians is:
Angle(Gradians) = Angle(Minutes) / 54
Substitute the given value of angle in minutes, i.e., Angle(Minutes) 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 an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star. Convert this angle from minutes to Gradians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 15
Formula:
The formula to convert angle from minutes to gradians is:
Angle(Gradians) = Angle(Minutes) / 54
Substitution:
Substitute given weight Angle(Minutes) = 15 in the above formula.
Angle(Gradians) = 15 / 54
Angle(Gradians) = 0.2778
Final Answer:
Therefore, 15 ' is equal to 0.2778 gon.
The angle is 0.2778 gon, in gradians.
2
Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement. Convert this angle from minutes to Gradians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 10
Formula:
The formula to convert angle from minutes to gradians is:
Angle(Gradians) = Angle(Minutes) / 54
Substitution:
Substitute given weight Angle(Minutes) = 10 in the above formula.
Angle(Gradians) = 10 / 54
Angle(Gradians) = 0.1852
Final Answer:
Therefore, 10 ' is equal to 0.1852 gon.
The angle is 0.1852 gon, in gradians.
Minutes to Gradians Conversion Table
The following table gives some of the most used conversions from Minutes to Gradians.
Minutes (')
Gradians (gon)
0 '
0 gon
1 '
0.01851851852gon
10 '
0.1852gon
45 '
0.8333gon
90 '
1.6667gon
180 '
3.3333gon
360 '
6.6667gon
1000 '
18.5185gon
Minutes
Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.
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 Minutes to Gradians in Angle?
The formula to convert Minutes to Gradians in Angle is:
Minutes / 54
2. Is this tool free or paid?
This Angle conversion tool, which converts Minutes to Gradians, is completely free to use.
3. How do I convert Angle from Minutes to Gradians?
To convert Angle from Minutes to Gradians, you can use the following formula:
Minutes / 54
For example, if you have a value in Minutes, you substitute that value in place of Minutes in the above formula, and solve the mathematical expression to get the equivalent value in Gradians.
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"y": "gon",
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"y_desc": "Gradians",
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"symbol": "m",
"formula": "x / 54",
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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 an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star.<br>Convert this angle from minutes to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 15</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> / 54</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 15</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>15</span> / 54</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.2778</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>15 '</strong> is equal to <strong>0.2778 gon</strong>.</p>\n <p>The angle is <strong>0.2778 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 surveyor sets the angle of a theodolite to 10 minutes for precise measurement.<br>Convert this angle from minutes to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 10</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> / 54</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 10</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>10</span> / 54</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.1852</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>10 '</strong> is equal to <strong>0.1852 gon</strong>.</p>\n <p>The angle is <strong>0.1852 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Minutes</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Minutes to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Minutes (<span class=\"unit\">'</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">'</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">'</span></td><td>0<span>.01851851852</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">'</span></td><td>0<span>.1852</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">'</span></td><td>0<span>.8333</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">'</span></td><td>1<span>.6667</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">'</span></td><td>3<span>.3333</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">'</span></td><td>6<span>.6667</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">'</span></td><td>18<span>.5185</span> <span class=\"unit\">gon</span></td></tr></table>",
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"y_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.",
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}