How to use this Hour Angles to Gradians Converter 🤔
Follow these steps to convert given angle from the units of Hour Angles to the units of Gradians.
Enter the input Hour Angles value in the text field.
The calculator converts the given Hour Angles into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Hour Angles to Gradians?
The formula to convert given angle from Hour Angles to Gradians is:
Angle(Gradians) = Angle(Hour Angles) × 50 / 3
Substitute the given value of angle in hour angles, i.e., Angle(Hour Angles) in the above formula and simplify the right-hand side value. The resulting value is the angle in gradians, i.e., Angle(Gradians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that the position of a celestial body is tracked at 6 hour angles. Convert this angle from hour angles to Gradians.
Answer:
Given:
The angle in hour angles is:
Angle(Hour Angles) = 6
Formula:
The formula to convert angle from hour angles to gradians is:
Angle(Gradians) = Angle(Hour Angles) × 50 / 3
Substitution:
Substitute given weight Angle(Hour Angles) = 6 in the above formula.
Angle(Gradians) = 6 × 50 / 3
Angle(Gradians) = 100
Final Answer:
Therefore, 6 hour angle is equal to 100 gon.
The angle is 100 gon, in gradians.
2
Consider that a sundial shows a time difference of 4 hour angles. Convert this angle from hour angles to Gradians.
Answer:
Given:
The angle in hour angles is:
Angle(Hour Angles) = 4
Formula:
The formula to convert angle from hour angles to gradians is:
Angle(Gradians) = Angle(Hour Angles) × 50 / 3
Substitution:
Substitute given weight Angle(Hour Angles) = 4 in the above formula.
Angle(Gradians) = 4 × 50 / 3
Angle(Gradians) = 66.6667
Final Answer:
Therefore, 4 hour angle is equal to 66.6667 gon.
The angle is 66.6667 gon, in gradians.
Hour Angles to Gradians Conversion Table
The following table gives some of the most used conversions from Hour Angles to Gradians.
Hour Angles (hour angle)
Gradians (gon)
0 hour angle
0 gon
1 hour angle
16.6667gon
10 hour angle
166.6667gon
45 hour angle
750 gon
90 hour angle
1500 gon
180 hour angle
3000 gon
360 hour angle
6000 gon
1000 hour angle
16666.6667gon
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.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Hour Angles to Gradians in Angle?
The formula to convert Hour Angles to Gradians in Angle is:
Hour Angles * 50 / 3
2. Is this tool free or paid?
This Angle conversion tool, which converts Hour Angles to Gradians, is completely free to use.
3. How do I convert Angle from Hour Angles to Gradians?
To convert Angle from Hour Angles to Gradians, you can use the following formula:
Hour Angles * 50 / 3
For example, if you have a value in Hour Angles, you substitute that value in place of Hour Angles in the above formula, and solve the mathematical expression to get the equivalent value in Gradians.
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