hour angle to rad | Hour Angles to Radians Converter

How to use this Hour Angles to Radians Converter 🤔

Follow these steps to convert given Hour Angles value from Hour Angles units to Radians units.

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

Radians = Hour Angles * π / 12

Calculation

Calculation will be done after you enter a valid input.

Hour Angles to Radians Conversion Table

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

Hour Angles (hour angle)	Radians (rad)
0 hour angle	0 rad
1 hour angle	0.2618 rad
10 hour angle	2.618 rad
45 hour angle	11.781 rad
90 hour angle	23.5619 rad
180 hour angle	47.1239 rad
360 hour angle	94.2478 rad
1000 hour angle	261.7994 rad

Hour Angles

Hour angles are a unit of angular measurement used in astronomy to describe the position of celestial objects relative to an observer's local meridian. One hour angle corresponds to 15 degrees, reflecting the Earth's rotation rate of 15 degrees per hour. Hour angles are crucial in celestial navigation and the tracking of astronomical objects.

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": "hour_angles-radians", "x_slug": "hour_angles", "y_slug": "radians", "x": "hour angle", "y": "rad", "x_desc": "Hour Angles", "y_desc": "Radians", "category": "Angle", "symbol": "m", "formula": "x * π / 12", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that the position of a celestial body is tracked at 6 hour angles. Convert this angle from hour angles to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in hour angles is:\n Angle(Hour Angles) = 6\n Formula:\n The formula to convert angle from hour angles to radians is:\n Angle(Radians) = Angle(Hour Angles) × π / 12\n Substitution:\n Substitute given weight Angle(Hour Angles) = 6 in the above formula.\n Angle(Radians) = 6 × 3.14159265359 / 12\n Angle(Radians) = 1.5708\n Final Answer:\n Therefore, 6 hour angle is equal to 1.5708 rad.\n The angle is 1.5708 rad, in radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a sundial shows a time difference of 4 hour angles. Convert this angle from hour angles to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in hour angles is:\n Angle(Hour Angles) = 4\n Formula:\n The formula to convert angle from hour angles to radians is:\n Angle(Radians) = Angle(Hour Angles) × π / 12\n Substitution:\n Substitute given weight Angle(Hour Angles) = 4 in the above formula.\n Angle(Radians) = 4 × 3.14159265359 / 12\n Angle(Radians) = 1.0472\n Final Answer:\n Therefore, 4 hour angle is equal to 1.0472 rad.\n The angle is 1.0472 rad, in radians.\n </div>\n ", "table1n": "<h2>Hour Angles to Radians Conversion Table</h2>The following table gives some of the most used conversions from Hour Angles to Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Hour Angles (hour angle)</th><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><tr></thead><tbody><tr><td>0 hour angle</td><td>0 rad</td></tr><tr><td>1 hour angle</td><td>0.2618 rad</td></tr><tr><td>10 hour angle</td><td>2.618 rad</td></tr><tr><td>45 hour angle</td><td>11.781 rad</td></tr><tr><td>90 hour angle</td><td>23.5619 rad</td></tr><tr><td>180 hour angle</td><td>47.1239 rad</td></tr><tr><td>360 hour angle</td><td>94.2478 rad</td></tr><tr><td>1000 hour angle</td><td>261.7994 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": "Hour angles are a unit of angular measurement used in astronomy to describe the position of celestial objects relative to an observer's local meridian. One hour angle corresponds to 15 degrees, reflecting the Earth's rotation rate of 15 degrees per hour. Hour angles are crucial in celestial navigation and the tracking of astronomical objects." }

Convert Hour Angles to Radians