How to use this Minutes to Milli-radians Converter 🤔
Follow these steps to convert given angle from the units of Minutes to the units of Milli-radians.
Enter the input Minutes value in the text field.
The calculator converts the given Minutes into Milli-radians in realtime ⌚ using the conversion formula, and displays under the Milli-radians label. You do not need to click any button. If the input changes, Milli-radians value is re-calculated, just like that.
You may copy the resulting Milli-radians 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 Minutes to Milli-radians?
The formula to convert given angle from Minutes to Milli-radians is:
Angle(Milli-radians) = Angle(Minutes) × π / 10.8
Substitute the given value of angle in minutes, i.e., Angle(Minutes) in the above formula and simplify the right-hand side value. The resulting value is the angle in milli-radians, i.e., Angle(Milli-radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star. Convert this angle from minutes to Milli-radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 15
Formula:
The formula to convert angle from minutes to milli-radians is:
Angle(Milli-radians) = Angle(Minutes) × π / 10.8
Substitution:
Substitute given weight Angle(Minutes) = 15 in the above formula.
Angle(Milli-radians) = 15 × 3.14159265359 / 10.8
Angle(Milli-radians) = 4.3633
Final Answer:
Therefore, 15 ' is equal to 4.3633 mrad.
The angle is 4.3633 mrad, in milli-radians.
2
Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement. Convert this angle from minutes to Milli-radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 10
Formula:
The formula to convert angle from minutes to milli-radians is:
Angle(Milli-radians) = Angle(Minutes) × π / 10.8
Substitution:
Substitute given weight Angle(Minutes) = 10 in the above formula.
Angle(Milli-radians) = 10 × 3.14159265359 / 10.8
Angle(Milli-radians) = 2.9089
Final Answer:
Therefore, 10 ' is equal to 2.9089 mrad.
The angle is 2.9089 mrad, in milli-radians.
Minutes to Milli-radians Conversion Table
The following table gives some of the most used conversions from Minutes to Milli-radians.
Minutes (')
Milli-radians (mrad)
0 '
0 mrad
1 '
0.2909mrad
10 '
2.9089mrad
45 '
13.09mrad
90 '
26.1799mrad
180 '
52.3599mrad
360 '
104.7198mrad
1000 '
290.8882mrad
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.
Milli-radians
Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Minutes to Milli-radians in Angle?
The formula to convert Minutes to Milli-radians in Angle is:
Minutes * π / 10.8
2. Is this tool free or paid?
This Angle conversion tool, which converts Minutes to Milli-radians, is completely free to use.
3. How do I convert Angle from Minutes to Milli-radians?
To convert Angle from Minutes to Milli-radians, you can use the following formula:
Minutes * π / 10.8
For example, if you have a value in Minutes, you substitute that value in place of Minutes in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.
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