Compass Points to Milli-radians Converter

Enter Compass Points

compass point

Milli-radians

mrad

View Calculation

⇅ Switch toMilli-radians to Compass Points Converter

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.

Enter the input Compass Points value in the text field.
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.
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 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

Substitute the given value of angle in compass points, i.e., Angle_{(Compass Points)} 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

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.

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 point	0 mrad
1 compass point	196.3495 mrad
10 compass point	1963.4954 mrad
45 compass point	8835.7293 mrad
90 compass point	17671.4587 mrad
180 compass point	35342.9174 mrad
360 compass point	70685.8347 mrad
1000 compass point	196349.5408 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?

The formula to convert Compass Points to Milli-radians in Angle is:

Compass Points * 11.25 * 2000 * π / 360

2. Is this tool free or paid?

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

To convert Angle from Compass Points to Milli-radians, you can use the following formula:

Compass Points * 11.25 * 2000 * π / 360

For example, if you have a value in Compass Points, you substitute that value in place of Compass Points in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.

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Convert this direction from compass points to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in compass points is:\n Angle(Compass Points) = 8\n Formula:\n The formula to convert angle from compass points to milli-radians is:\n Angle(Milli-radians) = Angle(Compass Points) × 11.25 × 2000 × π / 360\n Substitution:\n Substitute given weight Angle(Compass Points) = 8 in the above formula.\n Angle(Milli-radians) = 8 × 11.25 × 2000 × 3.14159265359 / 360\n Angle(Milli-radians) = 1570.7963\n Final Answer:\n Therefore, 8 compass point is equal to 1570.7963 mrad.\n The angle is 1570.7963 mrad, in milli-radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a hiker adjusts their direction by 4 compass points to stay on track. Convert this direction from compass points to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in compass points is:\n Angle(Compass Points) = 4\n Formula:\n The formula to convert angle from compass points to milli-radians is:\n Angle(Milli-radians) = Angle(Compass Points) × 11.25 × 2000 × π / 360\n Substitution:\n Substitute given weight Angle(Compass Points) = 4 in the above formula.\n Angle(Milli-radians) = 4 × 11.25 × 2000 × 3.14159265359 / 360\n Angle(Milli-radians) = 785.3982\n Final Answer:\n Therefore, 4 compass point is equal to 785.3982 mrad.\n The angle is 785.3982 mrad, in milli-radians.\n </div>\n ", "structured_data_1": "\n<script type=\"application/ld+json\">\n{\n \"@context\": \"https://schema.org\",\n \"@type\": \"WebApplication\",\n \"name\": \"Compass Points to Milli-radians Unit Converter\",\n \"url\": \"https://convertonline.org/unit/?convert=kg-gram\",\n \"applicationCategory\": \"Utility\",\n \"operatingSystem\": \"All\",\n \"description\": \"Convert Compass Points (compass point) to Milli-radians (mrad) using this online Angle unit converter. Conversion formula, real life examples, conversion tables, etc.\",\n \"softwareVersion\": \"1.0\",\n \"offers\": {\n \"@type\": \"Offer\",\n \"price\": \"0.00\",\n \"priceCurrency\": \"USD\"\n },\n \"creator\": {\n \"@type\": \"Organization\",\n \"name\": \"ConvertOnline\",\n \"url\": \"https://convertonline.org\"\n },\n \"featureList\": [\n \"Convert Compass Points to Milli-radians\",\n \"Instant conversion results\",\n \"Free to use\"\n ],\n \"keywords\": \"compass point to mrad, Compass Points to Milli-radians converter, unit conversion, Angle conversion\"\n}\n</script>\n ", "table1n": "<h2>Compass Points to Milli-radians Conversion Table</h2>The following table gives some of the most used conversions from Compass Points to Milli-radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Compass Points (compass point)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (mrad)</th><tr></thead><tbody><tr><td>0 compass point</td><td>0 mrad</td></tr><tr><td>1 compass point</td><td>196.3495 mrad</td></tr><tr><td>10 compass point</td><td>1963.4954 mrad</td></tr><tr><td>45 compass point</td><td>8835.7293 mrad</td></tr><tr><td>90 compass point</td><td>17671.4587 mrad</td></tr><tr><td>180 compass point</td><td>35342.9174 mrad</td></tr><tr><td>360 compass point</td><td>70685.8347 mrad</td></tr><tr><td>1000 compass point</td><td>196349.5408 mrad</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "x_long_desc": "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.", "y_long_desc": "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." }

Compass Points to Milli-radians Converter

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

What is the Formula to convert Compass Points to Milli-radians?

Calculation

Examples

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:

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:

Compass Points to Milli-radians Conversion Table

Compass Points

Milli-radians

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?

Popular Angle Converters

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.

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