How to use this Diameter Parts to Gradians Converter 🤔
Follow these steps to convert given angle from the units of Diameter Parts to the units of Gradians.
Enter the input Diameter Parts value in the text field.
The calculator converts the given Diameter Parts 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 Diameter Parts to Gradians?
The formula to convert given angle from Diameter Parts to Gradians is:
Substitute the given value of angle in diameter parts, i.e., Angle(Diameter Parts) 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 mechanical watch's gear rotates by 12 diameter parts. Convert this rotation from diameter parts to Gradians.
Answer:
Given:
The angle in diameter parts is:
Angle(Diameter Parts) = 12
Formula:
The formula to convert angle from diameter parts to gradians is:
Substitute given weight Angle(Diameter Parts) = 16 in the above formula.
Angle(Gradians) = 16 × 400 / 376.991
Angle(Gradians) = 16.9765
Final Answer:
Therefore, 16 diameter part is equal to 16.9765 gon.
The angle is 16.9765 gon, in gradians.
Diameter Parts to Gradians Conversion Table
The following table gives some of the most used conversions from Diameter Parts to Gradians.
Diameter Parts (diameter part)
Gradians (gon)
0 diameter part
0 gon
1 diameter part
1.061gon
10 diameter part
10.6103gon
45 diameter part
47.7465gon
90 diameter part
95.493gon
180 diameter part
190.986gon
360 diameter part
381.972gon
1000 diameter part
1061.0333gon
Diameter Parts
Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential.
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 Diameter Parts to Gradians in Angle?
The formula to convert Diameter Parts to Gradians in Angle is:
Diameter Parts * 400 / 376.991
2. Is this tool free or paid?
This Angle conversion tool, which converts Diameter Parts to Gradians, is completely free to use.
3. How do I convert Angle from Diameter Parts to Gradians?
To convert Angle from Diameter Parts to Gradians, you can use the following formula:
Diameter Parts * 400 / 376.991
For example, if you have a value in Diameter Parts, you substitute that value in place of Diameter Parts in the above formula, and solve the mathematical expression to get the equivalent value in Gradians.
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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 mechanical watch's gear rotates by 12 diameter parts.<br>Convert this rotation from diameter parts to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 12</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 400 / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 12</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>12</span> × 400 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 12.7324</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>12 diameter part</strong> is equal to <strong>12.7324 gon</strong>.</p>\n <p>The angle is <strong>12.7324 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 precision tool rotates by 16 diameter parts for accurate measurements.<br>Convert this rotation from diameter parts to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 16</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 400 / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 16</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>16</span> × 400 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 16.9765</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>16 diameter part</strong> is equal to <strong>16.9765 gon</strong>.</p>\n <p>The angle is <strong>16.9765 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Diameter Parts</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Diameter Parts to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">diameter part</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">diameter part</span></td><td>1<span>.061</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">diameter part</span></td><td>10<span>.6103</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">diameter part</span></td><td>47<span>.7465</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">diameter part</span></td><td>95<span>.493</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">diameter part</span></td><td>190<span>.986</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">diameter part</span></td><td>381<span>.972</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">diameter part</span></td><td>1061<span>.0333</span> <span class=\"unit\">gon</span></td></tr></table>",
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