# Radians to Compass Points Converter

⇅ Switch toCompass Points to Radians Converter

## How to use this Radians to Compass Points Converter 🤔

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

- Enter the input
**Radians**value in the text field. - The calculator converts the given
**Radians**into**Compass Points**in realtime ⌚ using the conversion formula, and displays under the**Compass Points**label. You do not need to click any button. If the input changes,**Compass Points**value is re-calculated, just like that. - You may copy the resulting
**Compass Points**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 Radians to Compass Points?

The formula to convert given angle from Radians to Compass Points is:

Angle_{(Compass Points)} = Angle_{(Radians)} × 16 / π

Substitute the given value of angle in radians, i.e., Angle_{(Radians)} in the above formula and simplify the right-hand side value. The resulting value is the angle in compass points, i.e., Angle_{(Compass Points)}.

## Calculation

## Examples

### Consider that a robotic arm rotates by 1.5 radians to position an object accurately.

Convert this angle from radians to Compass Points.

#### Answer:

**Given:**

The angle in radians is:

Angle_{(Radians)} = 1.5

**Formula:**

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

Angle_{(Compass Points)} = Angle_{(Radians)} × 16 / π

**Substitution:**

Substitute given weight **Angle _{(Radians)} = 1.5** in the above formula.

Angle_{(Compass Points)} = 1.5 × 16 / 3.14159265359

Angle_{(Compass Points)} = 7.6394

**Final Answer:**

Therefore, **1.5 rad** is equal to **7.6394 compass point**.

The angle is **7.6394 compass point**, in compass points.

### Consider that a satellite dish adjusts by 0.75 radians to align with a signal.

Convert this angle from radians to Compass Points.

#### Answer:

**Given:**

The angle in radians is:

Angle_{(Radians)} = 0.75

**Formula:**

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

Angle_{(Compass Points)} = Angle_{(Radians)} × 16 / π

**Substitution:**

Substitute given weight **Angle _{(Radians)} = 0.75** in the above formula.

Angle_{(Compass Points)} = 0.75 × 16 / 3.14159265359

Angle_{(Compass Points)} = 3.8197

**Final Answer:**

Therefore, **0.75 rad** is equal to **3.8197 compass point**.

The angle is **3.8197 compass point**, in compass points.

## Radians to Compass Points Conversion Table

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

Radians (rad) | Compass Points (compass point) |
---|---|

0 rad | 0 compass point |

1 rad | 5.093 compass point |

10 rad | 50.9296 compass point |

45 rad | 229.1831 compass point |

90 rad | 458.3662 compass point |

180 rad | 916.7325 compass point |

360 rad | 1833.4649 compass point |

1000 rad | 5092.9582 compass point |

## 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.

## 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.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Radians to Compass Points in Angle?

The formula to convert Radians to Compass Points in Angle is:

Radians * 16 / π

### 2. Is this tool free or paid?

This Angle conversion tool, which converts Radians to Compass Points, is completely free to use.

### 3. How do I convert Angle from Radians to Compass Points?

To convert Angle from Radians to Compass Points, you can use the following formula:

Radians * 16 / π

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