rad to " | Radians to Seconds Converter

How to use this Radians to Seconds Converter 🤔

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

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

Formula

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

Seconds = Radians * 648000 / π

Calculation

Calculation will be done after you enter a valid input.

Radians to Seconds Conversion Table

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

Radians (rad)	Seconds (")
0 rad	0 "
1 rad	206264.8062 "
10 rad	2062648.0625 "
45 rad	9281916.2811 "
90 rad	18563832.5622 "
180 rad	37127665.1245 "
360 rad	74255330.249 "
1000 rad	206264806.2471 "

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.

Seconds

Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.

{ "conversion": "radians-seconds", "x_slug": "radians", "y_slug": "seconds", "x": "rad", "y": "\"", "x_desc": "Radians", "y_desc": "Seconds", "category": "Angle", "symbol": "m", "formula": "x * 648000 / 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 Seconds.</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 seconds is:\n Angle(Seconds) = Angle(Radians) × 648000 / π\n Substitution:\n Substitute given weight Angle(Radians) = 1.5 in the above formula.\n Angle(Seconds) = 1.5 × 648000 / 3.14159265359\n Angle(Seconds) = 309397.2094\n Final Answer:\n Therefore, 1.5 rad is equal to 309397.2094 \".\n The angle is 309397.2094 \", in seconds.\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 Seconds.</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 seconds is:\n Angle(Seconds) = Angle(Radians) × 648000 / π\n Substitution:\n Substitute given weight Angle(Radians) = 0.75 in the above formula.\n Angle(Seconds) = 0.75 × 648000 / 3.14159265359\n Angle(Seconds) = 154698.6047\n Final Answer:\n Therefore, 0.75 rad is equal to 154698.6047 \".\n The angle is 154698.6047 \", in seconds.\n </div>\n ", "table1n": "<h2>Radians to Seconds Conversion Table</h2>The following table gives some of the most used conversions from Radians to Seconds.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><th scope=\"column\" role=\"columnheader\">Seconds (\")</th><tr></thead><tbody><tr><td>0 rad</td><td>0 \"</td></tr><tr><td>1 rad</td><td>206264.8062 \"</td></tr><tr><td>10 rad</td><td>2062648.0625 \"</td></tr><tr><td>45 rad</td><td>9281916.2811 \"</td></tr><tr><td>90 rad</td><td>18563832.5622 \"</td></tr><tr><td>180 rad</td><td>37127665.1245 \"</td></tr><tr><td>360 rad</td><td>74255330.249 \"</td></tr><tr><td>1000 rad</td><td>206264806.2471 \"</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": "Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant." }

Convert Radians to Seconds