Follow these steps to convert given π Radians value from π Radians units to Turns units.
Enter the input π Radians value in the text field.
The given π Radians is converted to Turns in realtime ⌚ using the formula, and displayed under the Turns label.
You may copy the resulting Turns value using the Copy button.
Formula
To convert given angle from π Radians to Turns, use the following formula.
Turns = π Radians / 2
Calculation
Calculation will be done after you enter a valid input.
π Radians to Turns Conversion Table
The following table gives some of the most used conversions from π Radians to Turns.
π Radians (π radians)
Turns (turn)
0 π radians
0 turn
1 π radians
0.5turn
10 π radians
5 turn
45 π radians
22.5turn
90 π radians
45 turn
180 π radians
90 turn
360 π radians
180 turn
1000 π radians
500 turn
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.
Turns
A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.
{
"conversion": "pi_radians-turns",
"x_slug": "pi_radians",
"y_slug": "turns",
"x": "π radians",
"y": "turn",
"x_desc": "π Radians",
"y_desc": "Turns",
"category": "Angle",
"symbol": "m",
"formula": "x / 2",
"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 Turns.</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 turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> / 2</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>(Turns)</sub></span> = <span>2</span> / 2</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 1</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 π radians</strong> is equal to <strong>1 turn</strong>.</p>\n <p>The angle is <strong>1 turn</strong>, in turns.</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 Turns.</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 turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(π Radians)</sub></span> / 2</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>(Turns)</sub></span> = <span>0.5</span> / 2</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 π radians</strong> is equal to <strong>0.25 turn</strong>.</p>\n <p>The angle is <strong>0.25 turn</strong>, in turns.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">π Radians</span> to <span class=\"y\">Turns</span> Conversion Table</h2><p>The following table gives some of the most used conversions from π Radians to Turns.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">π radians</span></td><td>0 <span class=\"unit\">turn</span></td></tr><tr><td>1 <span class=\"unit\">π radians</span></td><td>0<span>.5</span> <span class=\"unit\">turn</span></td></tr><tr><td>10 <span class=\"unit\">π radians</span></td><td>5 <span class=\"unit\">turn</span></td></tr><tr><td>45 <span class=\"unit\">π radians</span></td><td>22<span>.5</span> <span class=\"unit\">turn</span></td></tr><tr><td>90 <span class=\"unit\">π radians</span></td><td>45 <span class=\"unit\">turn</span></td></tr><tr><td>180 <span class=\"unit\">π radians</span></td><td>90 <span class=\"unit\">turn</span></td></tr><tr><td>360 <span class=\"unit\">π radians</span></td><td>180 <span class=\"unit\">turn</span></td></tr><tr><td>1000 <span class=\"unit\">π radians</span></td><td>500 <span class=\"unit\">turn</span></td></tr></table>",
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[
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"y_long_desc": "A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.",
"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