Follow these steps to convert given angle from the units of π Radians to the units of Degrees.
Enter the input π Radians value in the text field.
The calculator converts the given π Radians into Degrees in realtime ⌚ using the conversion formula, and displays under the Degrees label. You do not need to click any button. If the input changes, Degrees value is re-calculated, just like that.
You may copy the resulting Degrees 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 Degrees?
The formula to convert given angle from π Radians to Degrees is:
Angle(Degrees) = Angle(π Radians) × 180
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 degrees, i.e., Angle(Degrees).
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 Degrees.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 2
Formula:
The formula to convert angle from π radians to degrees is:
Angle(Degrees) = Angle(π Radians) × 180
Substitution:
Substitute given weight Angle(π Radians) = 2 in the above formula.
Angle(Degrees) = 2 × 180
Angle(Degrees) = 360
Final Answer:
Therefore, 2 π radians is equal to 360 °.
The angle is 360 °, in degrees.
2
Consider that a pendulum swings through 0.5 pi radians. Convert this angle from pi radians to Degrees.
Answer:
Given:
The angle in π radians is:
Angle(π Radians) = 0.5
Formula:
The formula to convert angle from π radians to degrees is:
Angle(Degrees) = Angle(π Radians) × 180
Substitution:
Substitute given weight Angle(π Radians) = 0.5 in the above formula.
Angle(Degrees) = 0.5 × 180
Angle(Degrees) = 90
Final Answer:
Therefore, 0.5 π radians is equal to 90 °.
The angle is 90 °, in degrees.
π Radians to Degrees Conversion Table
The following table gives some of the most used conversions from π Radians to Degrees.
π Radians (π radians)
Degrees (°)
0 π radians
0 °
1 π radians
180 °
10 π radians
1800 °
45 π radians
8100 °
90 π radians
16200 °
180 π radians
32400 °
360 π radians
64800 °
1000 π radians
180000 °
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.
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
Frequently Asked Questions (FAQs)
1. What is the formula for converting π Radians to Degrees in Angle?
The formula to convert π Radians to Degrees in Angle is:
π Radians * 180
2. Is this tool free or paid?
This Angle conversion tool, which converts π Radians to Degrees, is completely free to use.
3. How do I convert Angle from π Radians to Degrees?
To convert Angle from π Radians to Degrees, you can use the following formula:
π Radians * 180
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 Degrees.
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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 Degrees.</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 degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> × 180</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>(Degrees)</sub></span> = <span>2</span> × 180</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 360</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 π radians</strong> is equal to <strong>360 °</strong>.</p>\n <p>The angle is <strong>360 °</strong>, in degrees.</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 Degrees.</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 degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> × 180</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>(Degrees)</sub></span> = <span>0.5</span> × 180</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 90</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 π radians</strong> is equal to <strong>90 °</strong>.</p>\n <p>The angle is <strong>90 °</strong>, in degrees.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">π Radians</span> to <span class=\"y\">Degrees</span> Conversion Table</h2><p>The following table gives some of the most used conversions from π Radians to Degrees.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">π radians</span></td><td>0 <span class=\"unit\">°</span></td></tr><tr><td>1 <span class=\"unit\">π radians</span></td><td>180 <span class=\"unit\">°</span></td></tr><tr><td>10 <span class=\"unit\">π radians</span></td><td>1800 <span class=\"unit\">°</span></td></tr><tr><td>45 <span class=\"unit\">π radians</span></td><td>8100 <span class=\"unit\">°</span></td></tr><tr><td>90 <span class=\"unit\">π radians</span></td><td>16200 <span class=\"unit\">°</span></td></tr><tr><td>180 <span class=\"unit\">π radians</span></td><td>32400 <span class=\"unit\">°</span></td></tr><tr><td>360 <span class=\"unit\">π radians</span></td><td>64800 <span class=\"unit\">°</span></td></tr><tr><td>1000 <span class=\"unit\">π radians</span></td><td>180000 <span class=\"unit\">°</span></td></tr></table>",
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