# Milli-radians to Gradians Converter

⇅ Switch toGradians to Milli-radians Converter

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

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

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

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

Angle_{(Gradians)} = Angle_{(Milli-radians)} / (5 × π)

Substitute the given value of angle in milli-radians, i.e., Angle_{(Milli-radians)} in the above formula and simplify the right-hand side value. The resulting value is the angle in gradians, i.e., Angle_{(Gradians)}.

## Calculation

## Examples

### Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.

Convert this angle from milliradians to Gradians.

#### Answer:

**Given:**

The angle in milli-radians is:

Angle_{(Milli-radians)} = 2

**Formula:**

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

Angle_{(Gradians)} = Angle_{(Milli-radians)} / (5 × π)

**Substitution:**

Substitute given weight **Angle _{(Milli-radians)} = 2** in the above formula.

Angle_{(Gradians)} = 2 / (5 × 3.14159265359)

Angle_{(Gradians)} = 0.1273

**Final Answer:**

Therefore, **2 mrad** is equal to **0.1273 gon**.

The angle is **0.1273 gon**, in gradians.

### Consider that a military rangefinder uses 5 milliradians for precise targeting.

Convert this angle from milliradians to Gradians.

#### Answer:

**Given:**

The angle in milli-radians is:

Angle_{(Milli-radians)} = 5

**Formula:**

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

Angle_{(Gradians)} = Angle_{(Milli-radians)} / (5 × π)

**Substitution:**

Substitute given weight **Angle _{(Milli-radians)} = 5** in the above formula.

Angle_{(Gradians)} = 5 / (5 × 3.14159265359)

Angle_{(Gradians)} = 0.3183

**Final Answer:**

Therefore, **5 mrad** is equal to **0.3183 gon**.

The angle is **0.3183 gon**, in gradians.

## Milli-radians to Gradians Conversion Table

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

Milli-radians (mrad) | Gradians (gon) |
---|---|

0 mrad | 0 gon |

1 mrad | 0.06366197724 gon |

10 mrad | 0.6366 gon |

45 mrad | 2.8648 gon |

90 mrad | 5.7296 gon |

180 mrad | 11.4592 gon |

360 mrad | 22.9183 gon |

1000 mrad | 63.662 gon |

## 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.

## Gradians

Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Milli-radians to Gradians in Angle?

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

Milli-radians / (5 * π)

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

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

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

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

Milli-radians / (5 * π)

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