hour angle to π radians | Hour Angles to π Radians Converter

How to use this Hour Angles to π Radians Converter 🤔

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

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

Formula

To convert given angle from Hour Angles to π Radians, use the following formula.

π Radians = Hour Angles / 12

Calculation

Calculation will be done after you enter a valid input.

Hour Angles to π Radians Conversion Table

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

Hour Angles (hour angle)	π Radians (π radians)
0 hour angle	0 π radians
1 hour angle	0.08333333333 π radians
10 hour angle	0.8333 π radians
45 hour angle	3.75 π radians
90 hour angle	7.5 π radians
180 hour angle	15 π radians
360 hour angle	30 π radians
1000 hour angle	83.3333 π radians

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.

π Radians

π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.

{ "conversion": "hour_angles-pi_radians", "x_slug": "hour_angles", "y_slug": "pi_radians", "x": "hour angle", "y": "π radians", "x_desc": "Hour Angles", "y_desc": "π Radians", "category": "Angle", "symbol": "m", "formula": "x / 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 π 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 π radians is:\n Angle(π Radians) = Angle(Hour Angles) / 12\n Substitution:\n Substitute given weight Angle(Hour Angles) = 6 in the above formula.\n Angle(π Radians) = 6 / 12\n Angle(π Radians) = 0.5\n Final Answer:\n Therefore, 6 hour angle is equal to 0.5 π radians.\n The angle is 0.5 π radians, in π 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 π 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 π radians is:\n Angle(π Radians) = Angle(Hour Angles) / 12\n Substitution:\n Substitute given weight Angle(Hour Angles) = 4 in the above formula.\n Angle(π Radians) = 4 / 12\n Angle(π Radians) = 0.3333\n Final Answer:\n Therefore, 4 hour angle is equal to 0.3333 π radians.\n The angle is 0.3333 π radians, in π radians.\n </div>\n ", "table1n": "<h2>Hour Angles to π Radians Conversion Table</h2>The following table gives some of the most used conversions from Hour Angles to π Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Hour Angles (hour angle)</th><th scope=\"column\" role=\"columnheader\">π Radians (π radians)</th><tr></thead><tbody><tr><td>0 hour angle</td><td>0 π radians</td></tr><tr><td>1 hour angle</td><td>0.08333333333 π radians</td></tr><tr><td>10 hour angle</td><td>0.8333 π radians</td></tr><tr><td>45 hour angle</td><td>3.75 π radians</td></tr><tr><td>90 hour angle</td><td>7.5 π radians</td></tr><tr><td>180 hour angle</td><td>15 π radians</td></tr><tr><td>360 hour angle</td><td>30 π radians</td></tr><tr><td>1000 hour angle</td><td>83.3333 π radians</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": "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.", "y_long_desc": "π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions." }

Convert Hour Angles to π Radians