# Gradians to Circles Converter

⇅ Switch toCircles to Gradians Converter

## How to use this Gradians to Circles Converter 🤔

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

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

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

Angle_{(Circles)} = 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 circles, i.e., Angle_{(Circles)}.

## Calculation

## Examples

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

Convert this angle from gradians to Circles.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 100

**Formula:**

The formula to convert angle from gradians to circles is:

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

**Substitution:**

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

Angle_{(Circles)} = 100 / 400

Angle_{(Circles)} = 0.25

**Final Answer:**

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

The angle is **0.25 circle**, in circles.

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

Convert this angle from gradians to Circles.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 90

**Formula:**

The formula to convert angle from gradians to circles is:

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

**Substitution:**

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

Angle_{(Circles)} = 90 / 400

Angle_{(Circles)} = 0.225

**Final Answer:**

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

The angle is **0.225 circle**, in circles.

## Gradians to Circles Conversion Table

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

Gradians (gon) | Circles (circle) |
---|---|

0 gon | 0 circle |

1 gon | 0.0025 circle |

10 gon | 0.025 circle |

45 gon | 0.1125 circle |

90 gon | 0.225 circle |

180 gon | 0.45 circle |

360 gon | 0.9 circle |

1000 gon | 2.5 circle |

## 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.

## Circles

Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.

## Frequently Asked Questions (FAQs)

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

The formula to convert Gradians to Circles in Angle is:

Gradians / 400

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

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

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

To convert Angle from Gradians to Circles, 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 Circles.