# Compass Points to Milli-radians Converter

⇅ 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 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

## 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?

This Angle conversion tool, which converts Compass Points to Milli-radians, is completely free to use.

### 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.