Follow these steps to convert given angle from the units of Seconds to the units of Gradians.
Enter the input Seconds value in the text field.
The calculator converts the given Seconds 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 Seconds to Gradians?
The formula to convert given angle from Seconds to Gradians is:
Angle(Gradians) = Angle(Seconds) / 3240
Substitute the given value of angle in seconds, i.e., Angle(Seconds) 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 microscope's fine adjustment is set to 30 arc seconds for detailed observation. Convert this angle from seconds to Gradians.
Answer:
Given:
The angle in seconds is:
Angle(Seconds) = 30
Formula:
The formula to convert angle from seconds to gradians is:
Angle(Gradians) = Angle(Seconds) / 3240
Substitution:
Substitute given weight Angle(Seconds) = 30 in the above formula.
Angle(Gradians) = 30 / 3240
Angle(Gradians) = 0.00925925926
Final Answer:
Therefore, 30 " is equal to 0.00925925926 gon.
The angle is 0.00925925926 gon, in gradians.
2
Consider that a telescope's alignment needs to be within 20 arc seconds for accurate tracking. Convert this angle from seconds to Gradians.
Answer:
Given:
The angle in seconds is:
Angle(Seconds) = 20
Formula:
The formula to convert angle from seconds to gradians is:
Angle(Gradians) = Angle(Seconds) / 3240
Substitution:
Substitute given weight Angle(Seconds) = 20 in the above formula.
Angle(Gradians) = 20 / 3240
Angle(Gradians) = 0.00617283951
Final Answer:
Therefore, 20 " is equal to 0.00617283951 gon.
The angle is 0.00617283951 gon, in gradians.
Seconds to Gradians Conversion Table
The following table gives some of the most used conversions from Seconds to Gradians.
Seconds (")
Gradians (gon)
0 "
0 gon
1 "
0.00030864198gon
10 "
0.00308641975gon
45 "
0.01388888889gon
90 "
0.02777777778gon
180 "
0.05555555556gon
360 "
0.1111gon
1000 "
0.3086gon
Seconds
Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.
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 Seconds to Gradians in Angle?
The formula to convert Seconds to Gradians in Angle is:
Seconds / 3240
2. Is this tool free or paid?
This Angle conversion tool, which converts Seconds to Gradians, is completely free to use.
3. How do I convert Angle from Seconds to Gradians?
To convert Angle from Seconds to Gradians, you can use the following formula:
Seconds / 3240
For example, if you have a value in Seconds, you substitute that value in place of Seconds 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 / 3240",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a microscope's fine adjustment is set to 30 arc seconds for detailed observation.<br>Convert this angle from seconds to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in seconds is:</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from seconds to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Seconds)</sub></span> / 3240</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Seconds)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>30</span> / 3240</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.00925925926</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 \"</strong> is equal to <strong>0.00925925926 gon</strong>.</p>\n <p>The angle is <strong>0.00925925926 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 telescope's alignment needs to be within 20 arc seconds for accurate tracking.<br>Convert this angle from seconds to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in seconds is:</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 20</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from seconds to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Seconds)</sub></span> / 3240</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Seconds)</sub> = 20</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>20</span> / 3240</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.00617283951</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>20 \"</strong> is equal to <strong>0.00617283951 gon</strong>.</p>\n <p>The angle is <strong>0.00617283951 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Seconds</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Seconds to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Seconds (<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>.00030864198</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">\"</span></td><td>0<span>.00308641975</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">\"</span></td><td>0<span>.01388888889</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">\"</span></td><td>0<span>.02777777778</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">\"</span></td><td>0<span>.05555555556</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">\"</span></td><td>0<span>.1111</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">\"</span></td><td>0<span>.3086</span> <span class=\"unit\">gon</span></td></tr></table>",
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}