Follow these steps to convert given Degrees value from Degrees units to π Radians units.
Enter the input Degrees value in the text field.
The given Degrees 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 Degrees to π Radians, use the following formula.
π Radians = Degrees / 180
Calculation
Calculation will be done after you enter a valid input.
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.
{
"conversion": "degrees-pi_radians",
"x_slug": "degrees",
"y_slug": "pi_radians",
"x": "°",
"y": "π radians",
"x_desc": "Degrees",
"y_desc": "π Radians",
"category": "Angle",
"symbol": "m",
"formula": "x / 180",
"precision": 11,
"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 ",
"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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[
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"°"
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[
"radians",
"Radians",
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[
"gradians",
"Gradians",
"gon"
],
[
"minutes",
"Minutes",
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],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
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[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
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[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
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[
"right_angles",
"Right Angles",
"right angle"
],
[
"milliradians",
"Milli-radians",
"mrad"
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[
"quadrants",
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"quadrant"
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[
"sextants",
"Sextants",
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[
"pi_radians",
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[
"zam",
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],
"x_long_desc": "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.",
"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