Compass Points to Milli-radians Converter

Enter Compass Points


Milli-radians





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How to use this Compass Points to Milli-radians Converter 🤔

Follow these steps to convert given angle from the units of Compass Points to the units of Milli-radians.

  1. Enter the input Compass Points value in the text field.
  2. The calculator converts the given Compass Points 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.
  3. You may copy the resulting Milli-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 Compass Points to Milli-radians?

The formula to convert given angle from Compass Points to Milli-radians is:

Angle(Milli-radians) = Angle(Compass Points) × 11.25 × 2000 × π / 360

To convert any given angle from compass points to milli-radians, substitute the given value of Angle(Compass Points) in the above formula, simplify the right-hand side value.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a ship's navigation system shifts by 8 compass points to adjust its course.
Convert this direction from compass points to Milli-radians.

Answer:

Given:

The angle in compass points is:

Angle(Compass Points) = 8

Formula:

The formula to convert angle from compass points to milli-radians is:

Angle(Milli-radians) = Angle(Compass Points) × 11.25 × 2000 × π / 360

Substitution:

Substitute given weight Angle(Compass Points) = 8 in the above formula.

Angle(Milli-radians) = 8 × 11.25 × 2000 × 3.14159265359 / 360

Angle(Milli-radians) = 1570.7963

Final Answer:

Therefore, 8 compass point is equal to 1570.7963 mrad.

The angle is 1570.7963 mrad, in milli-radians.

2

Consider that a hiker adjusts their direction by 4 compass points to stay on track.
Convert this direction from compass points to Milli-radians.

Answer:

Given:

The angle in compass points is:

Angle(Compass Points) = 4

Formula:

The formula to convert angle from compass points to milli-radians is:

Angle(Milli-radians) = Angle(Compass Points) × 11.25 × 2000 × π / 360

Substitution:

Substitute given weight Angle(Compass Points) = 4 in the above formula.

Angle(Milli-radians) = 4 × 11.25 × 2000 × 3.14159265359 / 360

Angle(Milli-radians) = 785.3982

Final Answer:

Therefore, 4 compass point is equal to 785.3982 mrad.

The angle is 785.3982 mrad, in milli-radians.

Compass Points to Milli-radians Conversion Table

The following table gives some of the most used conversions from Compass Points to Milli-radians.

Compass Points (compass point)Milli-radians (mrad)
0 compass point0 mrad
1 compass point196.3495 mrad
10 compass point1963.4954 mrad
45 compass point8835.7293 mrad
90 compass point17671.4587 mrad
180 compass point35342.9174 mrad
360 compass point70685.8347 mrad
1000 compass point196349.5408 mrad

Compass Points

Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions.

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 Compass Points to Milli-radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Compass Points to Milli-radians?