# Degrees to Milli-radians Converter

⇅ Switch toMilli-radians to Degrees Converter

## How to use this Degrees to Milli-radians Converter 🤔

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

- Enter the input
**Degrees**value in the text field. - The calculator converts the given
**Degrees**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 Degrees to Milli-radians?

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

Angle_{(Milli-radians)} = Angle_{(Degrees)} × 2000 × π / 360

To convert any given angle from degrees to milli-radians, substitute the given value of Angle_{(Degrees)} in the above formula, simplify the right-hand side value.

## Calculation

## Examples

### Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.

Convert this angle from degrees to Milli-radians.

#### Answer:

**Given:**

The angle of solar panel in degrees is:

Angle_{(Degrees)} = 45

**Formula:**

The formula to convert angle from degrees to milli-radians is:

Angle_{(Milli-radians)} = Angle_{(Degrees)} × 2000 × π / 360

**Substitution:**

Substitute given weight of solar panel, **Angle _{(Degrees)} = 45** in the above formula.

Angle_{(Milli-radians)} = 45 × 2000 × 3.14159265359 / 360

Angle_{(Milli-radians)} = 785.3982

**Final Answer:**

Therefore, **45 °** is equal to **785.3982 mrad**.

The angle of solar panel is **785.3982 mrad**, in milli-radians.

### Consider that a camera tripod allows for a 30-degree adjustment to capture the perfect shot.

Convert this angle from degrees to Milli-radians.

#### Answer:

**Given:**

The angle of camera tripod in degrees is:

Angle_{(Degrees)} = 30

**Formula:**

The formula to convert angle from degrees to milli-radians is:

Angle_{(Milli-radians)} = Angle_{(Degrees)} × 2000 × π / 360

**Substitution:**

Substitute given weight of camera tripod, **Angle _{(Degrees)} = 30** in the above formula.

Angle_{(Milli-radians)} = 30 × 2000 × 3.14159265359 / 360

Angle_{(Milli-radians)} = 523.5988

**Final Answer:**

Therefore, **30 °** is equal to **523.5988 mrad**.

The angle of camera tripod is **523.5988 mrad**, in milli-radians.

## Degrees to Milli-radians Conversion Table

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

Degrees (°) | Milli-radians (mrad) |
---|---|

0 ° | 0 mrad |

1 ° | 17.4533 mrad |

10 ° | 174.5329 mrad |

45 ° | 785.3982 mrad |

90 ° | 1570.7963 mrad |

180 ° | 3141.5927 mrad |

360 ° | 6283.1853 mrad |

1000 ° | 17453.2925 mrad |

## Degrees

Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.

## 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 Degrees to Milli-radians in Angle?

The formula to convert Degrees to Milli-radians in Angle is:

Degrees * 2000 * π / 360

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

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

### 3. How do I convert Angle from Degrees to Milli-radians?

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

Degrees * 2000 * π / 360

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