seconds to rad | Seconds to Radians Converter

How to use this Seconds to Radians Converter 🤔

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

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

Formula

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

Radians = Seconds * π/ 648000

Calculation

Calculation will be done after you enter a valid input.

Seconds to Radians Conversion Table

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

Seconds (")	Radians (rad)
0 "	0 rad
1 "	0.00000484814 rad
10 "	0.00004848137 rad
45 "	0.00021816616 rad
90 "	0.00043633231 rad
180 "	0.00087266463 rad
360 "	0.00174532925 rad
1000 "	0.00484813681 rad

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.

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.

{ "conversion": "seconds-radians", "x_slug": "seconds", "y_slug": "radians", "x": "\"", "y": "rad", "x_desc": "Seconds", "y_desc": "Radians", "category": "Angle", "symbol": "m", "formula": "x * π/ 648000", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that a microscope's fine adjustment is set to 30 arc seconds for detailed observation. Convert this angle from seconds to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in seconds is:\n Angle(Seconds) = 30\n Formula:\n The formula to convert angle from seconds to radians is:\n Angle(Radians) = Angle(Seconds) × π/ 648000\n Substitution:\n Substitute given weight Angle(Seconds) = 30 in the above formula.\n Angle(Radians) = 30 × 3.14159265359/ 648000\n Angle(Radians) = 0.0001454441\n Final Answer:\n Therefore, 30 \" is equal to 0.0001454441 rad.\n The angle is 0.0001454441 rad, in radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a telescope's alignment needs to be within 20 arc seconds for accurate tracking. Convert this angle from seconds to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in seconds is:\n Angle(Seconds) = 20\n Formula:\n The formula to convert angle from seconds to radians is:\n Angle(Radians) = Angle(Seconds) × π/ 648000\n Substitution:\n Substitute given weight Angle(Seconds) = 20 in the above formula.\n Angle(Radians) = 20 × 3.14159265359/ 648000\n Angle(Radians) = 0.00009696274\n Final Answer:\n Therefore, 20 \" is equal to 0.00009696274 rad.\n The angle is 0.00009696274 rad, in radians.\n </div>\n ", "table1n": "<h2>Seconds to Radians Conversion Table</h2>The following table gives some of the most used conversions from Seconds to Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Seconds (\")</th><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><tr></thead><tbody><tr><td>0 \"</td><td>0 rad</td></tr><tr><td>1 \"</td><td>0.00000484814 rad</td></tr><tr><td>10 \"</td><td>0.00004848137 rad</td></tr><tr><td>45 \"</td><td>0.00021816616 rad</td></tr><tr><td>90 \"</td><td>0.00043633231 rad</td></tr><tr><td>180 \"</td><td>0.00087266463 rad</td></tr><tr><td>360 \"</td><td>0.00174532925 rad</td></tr><tr><td>1000 \"</td><td>0.00484813681 rad</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" ] ], "y_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.", "x_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 Seconds to Radians