rad to circle | Radians to Circles Converter

How to use this Radians to Circles Converter 🤔

Follow these steps to convert given Radians value from Radians units to Circles units.

Enter the input Radians value in the text field.
The given Radians is converted to Circles in realtime ⌚ using the formula, and displayed under the Circles label.
You may copy the resulting Circles value using the Copy button.

Formula

To convert given angle from Radians to Circles, use the following formula.

Circles = Radians / (2 * π)

Calculation

Calculation will be done after you enter a valid input.

Radians to Circles Conversion Table

The following table gives some of the most used conversions from Radians to Circles.

Radians (rad)	Circles (circle)
0 rad	0 circle
1 rad	0.1592 circle
10 rad	1.5915 circle
45 rad	7.162 circle
90 rad	14.3239 circle
180 rad	28.6479 circle
360 rad	57.2958 circle
1000 rad	159.1549 circle

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.

Circles

Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.

{ "conversion": "radians-circles", "x_slug": "radians", "y_slug": "circles", "x": "rad", "y": "circle", "x_desc": "Radians", "y_desc": "Circles", "category": "Angle", "symbol": "m", "formula": "x / (2 * π)", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that a robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to Circles.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 1.5\n Formula:\n The formula to convert angle from radians to circles is:\n Angle(Circles) = Angle(Radians) / (2 × π)\n Substitution:\n Substitute given weight Angle(Radians) = 1.5 in the above formula.\n Angle(Circles) = 1.5 / (2 × 3.14159265359)\n Angle(Circles) = 0.2387\n Final Answer:\n Therefore, 1.5 rad is equal to 0.2387 circle.\n The angle is 0.2387 circle, in circles.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Circles.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 0.75\n Formula:\n The formula to convert angle from radians to circles is:\n Angle(Circles) = Angle(Radians) / (2 × π)\n Substitution:\n Substitute given weight Angle(Radians) = 0.75 in the above formula.\n Angle(Circles) = 0.75 / (2 × 3.14159265359)\n Angle(Circles) = 0.1194\n Final Answer:\n Therefore, 0.75 rad is equal to 0.1194 circle.\n The angle is 0.1194 circle, in circles.\n </div>\n ", "table1n": "<h2>Radians to Circles Conversion Table</h2>The following table gives some of the most used conversions from Radians to Circles.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><th scope=\"column\" role=\"columnheader\">Circles (circle)</th><tr></thead><tbody><tr><td>0 rad</td><td>0 circle</td></tr><tr><td>1 rad</td><td>0.1592 circle</td></tr><tr><td>10 rad</td><td>1.5915 circle</td></tr><tr><td>45 rad</td><td>7.162 circle</td></tr><tr><td>90 rad</td><td>14.3239 circle</td></tr><tr><td>180 rad</td><td>28.6479 circle</td></tr><tr><td>360 rad</td><td>57.2958 circle</td></tr><tr><td>1000 rad</td><td>159.1549 circle</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "x_long_desc": "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.", "y_long_desc": "Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles." }

Convert Radians to Circles