Follow these steps to convert given angle from the units of Radians to the units of π Radians.
Enter the input Radians value in the text field.
The calculator converts the given Radians 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 Radians to π Radians?
The formula to convert given angle from Radians to π Radians is:
Angle(π Radians) = Angle(Radians) / π
Substitute the given value of angle in radians, i.e., Angle(Radians) 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 robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to π Radians.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to π radians is:
Angle(π Radians) = Angle(Radians) / π
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(π Radians) = 1.5 / 3.14159265359
Angle(π Radians) = 0.4775
Final Answer:
Therefore, 1.5 rad is equal to 0.4775 π radians.
The angle is 0.4775 π radians, in π radians.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to π Radians.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to π radians is:
Angle(π Radians) = Angle(Radians) / π
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
Angle(π Radians) = 0.75 / 3.14159265359
Angle(π Radians) = 0.2387
Final Answer:
Therefore, 0.75 rad is equal to 0.2387 π radians.
The angle is 0.2387 π radians, in π radians.
Radians to π Radians Conversion Table
The following table gives some of the most used conversions from Radians to π Radians.
Radians (rad)
π Radians (π radians)
0 rad
0 π radians
1 rad
0.3183π radians
10 rad
3.1831π radians
45 rad
14.3239π radians
90 rad
28.6479π radians
180 rad
57.2958π radians
360 rad
114.5916π radians
1000 rad
318.3099π radians
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
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 Radians to π Radians in Angle?
The formula to convert Radians to π Radians in Angle is:
Radians / π
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to π Radians, is completely free to use.
3. How do I convert Angle from Radians to π Radians?
To convert Angle from Radians to π Radians, you can use the following formula:
Radians / π
For example, if you have a value in Radians, you substitute that value in place of Radians 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 robotic arm rotates by 1.5 radians to position an object accurately.<br>Convert this angle from radians to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 1.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> / π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 1.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>1.5</span> / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.4775</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>0.4775 π radians</strong>.</p>\n <p>The angle is <strong>0.4775 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 satellite dish adjusts by 0.75 radians to align with a signal.<br>Convert this angle from radians to π Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.75</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> / π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 0.75</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = <span>0.75</span> / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.2387</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>0.2387 π radians</strong>.</p>\n <p>The angle is <strong>0.2387 π radians</strong>, in π radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</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\">rad</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>0<span>.3183</span> <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>3<span>.1831</span> <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>14<span>.3239</span> <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>28<span>.6479</span> <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>57<span>.2958</span> <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>114<span>.5916</span> <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>318<span>.3099</span> <span class=\"unit\">π radians</span></td></tr></table>",
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