Follow these steps to convert given angle from the units of π Radians to the units of Gradians.
Enter the input π Radians value in the text field.
The calculator converts the given π Radians 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 π Radians to Gradians?
The formula to convert given angle from π Radians to Gradians is:
Angle(Gradians) = Angle(π Radians) × 200
Substitute the given value of angle in π radians, i.e., Angle(π Radians) 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 circle's rotation is measured at 2 pi radians. Convert this rotation from pi radians to Gradians.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 2
Formula:
The formula to convert angle from π radians to gradians is:
Angle(Gradians) = Angle(π Radians) × 200
Substitution:
Substitute given weight Angle(π Radians) = 2 in the above formula.
Angle(Gradians) = 2 × 200
Angle(Gradians) = 400
Final Answer:
Therefore, 2 π radians is equal to 400 gon.
The angle is 400 gon, in gradians.
2
Consider that a pendulum swings through 0.5 pi radians. Convert this angle from pi radians to Gradians.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 0.5
Formula:
The formula to convert angle from π radians to gradians is:
Angle(Gradians) = Angle(π Radians) × 200
Substitution:
Substitute given weight Angle(π Radians) = 0.5 in the above formula.
Angle(Gradians) = 0.5 × 200
Angle(Gradians) = 100
Final Answer:
Therefore, 0.5 π radians is equal to 100 gon.
The angle is 100 gon, in gradians.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting π Radians to Gradians in Angle?
The formula to convert π Radians to Gradians in Angle is:
π Radians * 200
2. Is this tool free or paid?
This Angle conversion tool, which converts π Radians to Gradians, is completely free to use.
3. How do I convert Angle from π Radians to Gradians?
To convert Angle from π Radians to Gradians, you can use the following formula:
π Radians * 200
For example, if you have a value in π Radians, you substitute that value in place of π Radians 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 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 ",
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"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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