Follow these steps to convert given angle from the units of Degrees to the units of π Radians.
Enter the input Degrees value in the text field.
The calculator converts the given Degrees into π Radians in realtime ⌚ using the conversion formula, and displays under the π Radians label. You do not need to click any button. If the input changes, π Radians value is re-calculated, just like that.
You may copy the resulting π Radians 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 Degrees to π Radians?
The formula to convert given angle from Degrees to π Radians is:
Angle(π Radians) = Angle(Degrees) / 180
Substitute the given value of angle in degrees, i.e., Angle(Degrees) in the above formula and simplify the right-hand side value. The resulting value is the angle in π radians, i.e., Angle(π Radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure. Convert this angle from degrees to π Radians.
Answer:
Given:
The angle of solar panel in degrees is:
Angle(Degrees) = 45
Formula:
The formula to convert angle from degrees to π radians is:
Angle(π Radians) = Angle(Degrees) / 180
Substitution:
Substitute given weight of solar panel, Angle(Degrees) = 45 in the above formula.
Angle(π Radians) = 45 / 180
Angle(π Radians) = 0.25
Final Answer:
Therefore, 45 ° is equal to 0.25 π radians.
The angle of solar panel is 0.25 π radians, in π radians.
2
Consider that a camera tripod allows for a 30-degree adjustment to capture the perfect shot. Convert this angle from degrees to π Radians.
Answer:
Given:
The angle of camera tripod in degrees is:
Angle(Degrees) = 30
Formula:
The formula to convert angle from degrees to π radians is:
Angle(π Radians) = Angle(Degrees) / 180
Substitution:
Substitute given weight of camera tripod, Angle(Degrees) = 30 in the above formula.
Angle(π Radians) = 30 / 180
Angle(π Radians) = 0.1667
Final Answer:
Therefore, 30 ° is equal to 0.1667 π radians.
The angle of camera tripod is 0.1667 π radians, in π radians.
Degrees to π Radians Conversion Table
The following table gives some of the most used conversions from Degrees to π Radians.
Degrees (°)
π Radians (π radians)
0 °
0 π radians
1 °
0.00555555556π radians
10 °
0.05555555556π radians
45 °
0.25π radians
90 °
0.5π radians
180 °
1 π radians
360 °
2 π radians
1000 °
5.5556π radians
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Degrees to π Radians in Angle?
The formula to convert Degrees to π Radians in Angle is:
Degrees / 180
2. Is this tool free or paid?
This Angle conversion tool, which converts Degrees to π Radians, is completely free to use.
3. How do I convert Angle from Degrees to π Radians?
To convert Angle from Degrees to π Radians, you can use the following formula:
Degrees / 180
For example, if you have a value in Degrees, you substitute that value in place of Degrees in the above formula, and solve the mathematical expression to get the equivalent value in π Radians.
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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 solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of solar panel in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 45</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> / 180</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of solar panel, <strong>Angle<sub>(Degrees)</sub> = 45</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>45</span> / 180</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>45 °</strong> is equal to <strong>0.25 π radians</strong>.</p>\n <p>The angle of solar panel is <strong>0.25 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 camera tripod allows for a 30-degree adjustment to capture the perfect shot.<br>Convert this angle from degrees to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of camera tripod in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> / 180</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of camera tripod, <strong>Angle<sub>(Degrees)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>30</span> / 180</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.1667</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>0.1667 π radians</strong>.</p>\n <p>The angle of camera tripod is <strong>0.1667 π radians</strong>, in π radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Degrees</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Degrees to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</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\">°</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>0<span>.00555555556</span> <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>0<span>.05555555556</span> <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>0<span>.25</span> <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>0<span>.5</span> <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>1 <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>2 <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>5<span>.5556</span> <span class=\"unit\">π radians</span></td></tr></table>",
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