minutes to rad | Minutes to Radians Converter

How to use this Minutes to Radians Converter 🤔

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

Enter the input Minutes value in the text field.
The given Minutes 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 Minutes to Radians, use the following formula.

Radians = Minutes * π / 10800

Calculation

Calculation will be done after you enter a valid input.

Minutes to Radians Conversion Table

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

Minutes (')	Radians (rad)
0 '	0 rad
1 '	0.00029088821 rad
10 '	0.00290888209 rad
45 '	0.01308996939 rad
90 '	0.02617993878 rad
180 '	0.05235987756 rad
360 '	0.1047 rad
1000 '	0.2909 rad

Minutes

Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.

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": "minutes-radians", "x_slug": "minutes", "y_slug": "radians", "x": "'", "y": "rad", "x_desc": "Minutes", "y_desc": "Radians", "category": "Angle", "symbol": "m", "formula": "x * π / 10800", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star. Convert this angle from minutes to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in minutes is:\n Angle(Minutes) = 15\n Formula:\n The formula to convert angle from minutes to radians is:\n Angle(Radians) = Angle(Minutes) × π / 10800\n Substitution:\n Substitute given weight Angle(Minutes) = 15 in the above formula.\n Angle(Radians) = 15 × 3.14159265359 / 10800\n Angle(Radians) = 0.00436332313\n Final Answer:\n Therefore, 15 ' is equal to 0.00436332313 rad.\n The angle is 0.00436332313 rad, in radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement. Convert this angle from minutes to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in minutes is:\n Angle(Minutes) = 10\n Formula:\n The formula to convert angle from minutes to radians is:\n Angle(Radians) = Angle(Minutes) × π / 10800\n Substitution:\n Substitute given weight Angle(Minutes) = 10 in the above formula.\n Angle(Radians) = 10 × 3.14159265359 / 10800\n Angle(Radians) = 0.00290888209\n Final Answer:\n Therefore, 10 ' is equal to 0.00290888209 rad.\n The angle is 0.00290888209 rad, in radians.\n </div>\n ", "table1n": "<h2>Minutes to Radians Conversion Table</h2>The following table gives some of the most used conversions from Minutes to Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Minutes (')</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>0.00029088821 rad</td></tr><tr><td>10 '</td><td>0.00290888209 rad</td></tr><tr><td>45 '</td><td>0.01308996939 rad</td></tr><tr><td>90 '</td><td>0.02617993878 rad</td></tr><tr><td>180 '</td><td>0.05235987756 rad</td></tr><tr><td>360 '</td><td>0.1047 rad</td></tr><tr><td>1000 '</td><td>0.2909 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": "Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations." }

Convert Minutes to Radians