# Quadrants to Gradians Converter

⇅ Switch toGradians to Quadrants Converter

## How to use this Quadrants to Gradians Converter 🤔

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

- Enter the input
**Quadrants**value in the text field. - The calculator converts the given
**Quadrants**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 Quadrants to Gradians?

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

Angle_{(Gradians)} = Angle_{(Quadrants)} × 100

Substitute the given value of angle in quadrants, i.e., Angle_{(Quadrants)} 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 map is divided into 4 quadrants for detailed navigation.

Convert this section from quadrants to Gradians.

#### Answer:

**Given:**

The angle in quadrants is:

Angle_{(Quadrants)} = 1

**Formula:**

The formula to convert angle from quadrants to gradians is:

Angle_{(Gradians)} = Angle_{(Quadrants)} × 100

**Substitution:**

Substitute given weight **Angle _{(Quadrants)} = 1** in the above formula.

Angle_{(Gradians)} = 1 × 100

Angle_{(Gradians)} = 100

**Final Answer:**

Therefore, **1 quadrant** is equal to **100 gon**.

The angle is **100 gon**, in gradians.

### Consider that a pilot uses 2 quadrants to determine the aircraft's position.

Convert this section from quadrants to Gradians.

#### Answer:

**Given:**

The angle in quadrants is:

Angle_{(Quadrants)} = 2

**Formula:**

The formula to convert angle from quadrants to gradians is:

Angle_{(Gradians)} = Angle_{(Quadrants)} × 100

**Substitution:**

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

Angle_{(Gradians)} = 2 × 100

Angle_{(Gradians)} = 200

**Final Answer:**

Therefore, **2 quadrant** is equal to **200 gon**.

The angle is **200 gon**, in gradians.

## Quadrants to Gradians Conversion Table

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

Quadrants (quadrant) | Gradians (gon) |
---|---|

0 quadrant | 0 gon |

1 quadrant | 100 gon |

10 quadrant | 1000 gon |

45 quadrant | 4500 gon |

90 quadrant | 9000 gon |

180 quadrant | 18000 gon |

360 quadrant | 36000 gon |

1000 quadrant | 100000 gon |

## Quadrants

Quadrants are a unit of angular measurement representing one-quarter of a full circle, equivalent to 90 degrees or π/2 radians. Quadrants are commonly used in geometry, astronomy, and navigation to describe and analyze positions, angles, and directional orientations within a defined space.

## 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 Quadrants to Gradians in Angle?

The formula to convert Quadrants to Gradians in Angle is:

Quadrants * 100

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

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

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

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

Quadrants * 100

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