Follow these steps to convert given angle from the units of Minutes to the units of π Radians.
Enter the input Minutes value in the text field.
The calculator converts the given Minutes into π Radians in realtime ⌚ using the conversion formula, and displays under the π Radians label. You do not need to click any button. If the input changes, π Radians value is re-calculated, just like that.
You may copy the resulting π 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 π Radians?
The formula to convert given angle from Minutes to π Radians is:
Angle(π Radians) = Angle(Minutes) / 10800
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 π radians, i.e., Angle(π 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 π Radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 15
Formula:
The formula to convert angle from minutes to π radians is:
Angle(π Radians) = Angle(Minutes) / 10800
Substitution:
Substitute given weight Angle(Minutes) = 15 in the above formula.
Angle(π Radians) = 15 / 10800
Angle(π Radians) = 0.00138888889
Final Answer:
Therefore, 15 ' is equal to 0.00138888889 π radians.
The angle is 0.00138888889 π radians, in π radians.
2
Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement. Convert this angle from minutes to π Radians.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 10
Formula:
The formula to convert angle from minutes to π radians is:
Angle(π Radians) = Angle(Minutes) / 10800
Substitution:
Substitute given weight Angle(Minutes) = 10 in the above formula.
Angle(π Radians) = 10 / 10800
Angle(π Radians) = 0.00092592593
Final Answer:
Therefore, 10 ' is equal to 0.00092592593 π radians.
The angle is 0.00092592593 π radians, in π radians.
Minutes to π Radians Conversion Table
The following table gives some of the most used conversions from Minutes to π Radians.
Minutes (')
π Radians (π radians)
0 '
0 π radians
1 '
0.00009259259π radians
10 '
0.00092592593π radians
45 '
0.00416666667π radians
90 '
0.00833333333π radians
180 '
0.01666666667π radians
360 '
0.03333333333π radians
1000 '
0.09259259259π radians
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Minutes to π Radians in Angle?
The formula to convert Minutes to π Radians in Angle is:
Minutes / 10800
2. Is this tool free or paid?
This Angle conversion tool, which converts Minutes to π Radians, is completely free to use.
3. How do I convert Angle from Minutes to π Radians?
To convert Angle from Minutes to π Radians, you can use the following formula:
Minutes / 10800
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 π Radians.
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