Follow these steps to convert given Gradians value from Gradians units to π Radians units.
Enter the input Gradians value in the text field.
The given Gradians is converted to π Radians in realtime ⌚ using the formula, and displayed under the π Radians label.
You may copy the resulting π Radians value using the Copy button.
Formula
To convert given angle from Gradians to π Radians, use the following formula.
π Radians = Gradians / 200
Calculation
Calculation will be done after you enter a valid input.
Gradians to π Radians Conversion Table
The following table gives some of the most used conversions from Gradians to π Radians.
Gradians (gon)
π Radians (π radians)
0 gon
0 π radians
1 gon
0.005π radians
10 gon
0.05π radians
45 gon
0.225π radians
90 gon
0.45π radians
180 gon
0.9π radians
360 gon
1.8π radians
1000 gon
5 π radians
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.
π Radians
π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.
{
"conversion": "gradians-pi_radians",
"x_slug": "gradians",
"y_slug": "pi_radians",
"x": "gon",
"y": "π radians",
"x_desc": "Gradians",
"y_desc": "π Radians",
"category": "Angle",
"symbol": "m",
"formula": "x / 200",
"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 π Radians.</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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 200</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>(π Radians)</sub></span> = <span>100</span> / 200</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.5</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>0.5 π radians</strong>.</p>\n <p>The angle is <strong>0.5 π radians</strong>, in π radians.</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 π Radians.</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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 200</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>(π Radians)</sub></span> = <span>90</span> / 200</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.45</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>0.45 π radians</strong>.</p>\n <p>The angle is <strong>0.45 π radians</strong>, in π radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>0<span>.005</span> <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>0<span>.05</span> <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>0<span>.225</span> <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>0<span>.45</span> <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>0<span>.9</span> <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>1<span>.8</span> <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>5 <span class=\"unit\">π radians</span></td></tr></table>",
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"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": "π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions."
}
ConvertOnline