ConvertOnlineHour Angles to Radians calculator
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Hour Angles to Radians formula
Use this formula to convert hour angles to radians:
Calculation
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Hour Angles to Radians Conversion Table
Reference values for converting 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 |
Worked example
Convert 6 Hour Angles to Radians
Radians = 6 × π / 12 = 1.5708 Radians
About these units
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.
{"formula":"x * π / 12","precision":11,"x_desc":"Hour Angles","y_desc":"Radians"}