# Gradians to Turns Converter

⇅ Switch toTurns to Gradians Converter

## How to use this Gradians to Turns Converter 🤔

Follow these steps to convert given angle from the units of Gradians to the units of Turns.

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

The formula to convert given angle from Gradians to Turns is:

Angle_{(Turns)} = Angle_{(Gradians)} / 400

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

## Calculation

## Examples

### Consider that a precision engineering tool adjusts by 100 gradians.

Convert this angle from gradians to Turns.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 100

**Formula:**

The formula to convert angle from gradians to turns is:

Angle_{(Turns)} = Angle_{(Gradians)} / 400

**Substitution:**

Substitute given weight **Angle _{(Gradians)} = 100** in the above formula.

Angle_{(Turns)} = 100 / 400

Angle_{(Turns)} = 0.25

**Final Answer:**

Therefore, **100 gon** is equal to **0.25 turn**.

The angle is **0.25 turn**, in turns.

### Consider that a civil engineer designs a slope with an angle of 90 gradians.

Convert this angle from gradians to Turns.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 90

**Formula:**

The formula to convert angle from gradians to turns is:

Angle_{(Turns)} = Angle_{(Gradians)} / 400

**Substitution:**

Substitute given weight **Angle _{(Gradians)} = 90** in the above formula.

Angle_{(Turns)} = 90 / 400

Angle_{(Turns)} = 0.225

**Final Answer:**

Therefore, **90 gon** is equal to **0.225 turn**.

The angle is **0.225 turn**, in turns.

## Gradians to Turns Conversion Table

The following table gives some of the most used conversions from Gradians to Turns.

Gradians (gon) | Turns (turn) |
---|---|

0 gon | 0 turn |

1 gon | 0.0025 turn |

10 gon | 0.025 turn |

45 gon | 0.1125 turn |

90 gon | 0.225 turn |

180 gon | 0.45 turn |

360 gon | 0.9 turn |

1000 gon | 2.5 turn |

## 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.

## Turns

A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Gradians to Turns in Angle?

The formula to convert Gradians to Turns in Angle is:

Gradians / 400

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

This Angle conversion tool, which converts Gradians to Turns, is completely free to use.

### 3. How do I convert Angle from Gradians to Turns?

To convert Angle from Gradians to Turns, you can use the following formula:

Gradians / 400

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