Follow these steps to convert given π Radians value from π Radians units to Gradians units.
Enter the input π Radians value in the text field.
The given π Radians is converted to Gradians in realtime ⌚ using the formula, and displayed under the Gradians label.
You may copy the resulting Gradians value using the Copy button.
Formula
To convert given angle from π Radians to Gradians, use the following formula.
Gradians = π Radians * 200
Calculation
Calculation will be done after you enter a valid input.
π Radians to Gradians Conversion Table
The following table gives some of the most used conversions from π Radians to Gradians.
π Radians (π radians)
Gradians (gon)
0 π radians
0 gon
1 π radians
200 gon
10 π radians
2000 gon
45 π radians
9000 gon
90 π radians
18000 gon
180 π radians
36000 gon
360 π radians
72000 gon
1000 π radians
200000 gon
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.
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.
{
"conversion": "pi_radians-gradians",
"x_slug": "pi_radians",
"y_slug": "gradians",
"x": "π radians",
"y": "gon",
"x_desc": "π Radians",
"y_desc": "Gradians",
"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 circle's rotation is measured at 2 pi radians.<br>Convert this rotation from pi radians to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in π radians is:</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from π radians to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> × 200</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(π Radians)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>2</span> × 200</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 400</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 π radians</strong> is equal to <strong>400 gon</strong>.</p>\n <p>The angle is <strong>400 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 pendulum swings through 0.5 pi radians.<br>Convert this angle from pi radians to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in π radians is:</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from π radians to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> × 200</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(π Radians)</sub> = 0.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>0.5</span> × 200</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 π radians</strong> is equal to <strong>100 gon</strong>.</p>\n <p>The angle is <strong>100 gon</strong>, in gradians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">π Radians</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from π Radians to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">π radians</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">π radians</span></td><td>200 <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">π radians</span></td><td>2000 <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">π radians</span></td><td>9000 <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">π radians</span></td><td>18000 <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">π radians</span></td><td>36000 <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">π radians</span></td><td>72000 <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">π radians</span></td><td>200000 <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.",
"x_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