Minutes to Radians Converter

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Radians





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How to use this Minutes to Radians Converter 🤔

Follow these steps to convert given angle from the units of Minutes to the units of Radians.

  1. Enter the input Minutes value in the text field.
  2. The calculator converts the given Minutes into Radians in realtime ⌚ using the conversion formula, and displays under the Radians label. You do not need to click any button. If the input changes, Radians value is re-calculated, just like that.
  3. You may copy the resulting Radians value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Minutes to Radians?

The formula to convert given angle from Minutes to Radians is:

Angle(Radians) = Angle(Minutes) × π / 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 radians, i.e., Angle(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 Radians.

Answer:

Given:

The angle in minutes is:

Angle(Minutes) = 15

Formula:

The formula to convert angle from minutes to radians is:

Angle(Radians) = Angle(Minutes) × π / 10800

Substitution:

Substitute given weight Angle(Minutes) = 15 in the above formula.

Angle(Radians) = 15 × 3.14159265359 / 10800

Angle(Radians) = 0.00436332313

Final Answer:

Therefore, 15 ' is equal to 0.00436332313 rad.

The angle is 0.00436332313 rad, in radians.

2

Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement.
Convert this angle from minutes to Radians.

Answer:

Given:

The angle in minutes is:

Angle(Minutes) = 10

Formula:

The formula to convert angle from minutes to radians is:

Angle(Radians) = Angle(Minutes) × π / 10800

Substitution:

Substitute given weight Angle(Minutes) = 10 in the above formula.

Angle(Radians) = 10 × 3.14159265359 / 10800

Angle(Radians) = 0.00290888209

Final Answer:

Therefore, 10 ' is equal to 0.00290888209 rad.

The angle is 0.00290888209 rad, in radians.

Minutes to Radians Conversion Table

The following table gives some of the most used conversions from Minutes to Radians.

Minutes (')Radians (rad)
0 '0 rad
1 '0.00029088821 rad
10 '0.00290888209 rad
45 '0.01308996939 rad
90 '0.02617993878 rad
180 '0.05235987756 rad
360 '0.1047 rad
1000 '0.2909 rad

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.

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.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Minutes to Radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Minutes to Radians?