# Circles to Gradians Converter

⇅ Switch toGradians to Circles Converter

## How to use this Circles to Gradians Converter 🤔

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

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

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

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

Substitute the given value of angle in circles, i.e., Angle_{(Circles)} 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 Ferris wheel rotates through 0.5 circles during one ride.

Convert this rotation from circles to Gradians.

#### Answer:

**Given:**

The angle in circles is:

Angle_{(Circles)} = 0.5

**Formula:**

The formula to convert angle from circles to gradians is:

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

**Substitution:**

Substitute given weight **Angle _{(Circles)} = 0.5** in the above formula.

Angle_{(Gradians)} = 0.5 × 400

Angle_{(Gradians)} = 200

**Final Answer:**

Therefore, **0.5 circle** is equal to **200 gon**.

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

### Consider that a drone completes 3 circles in the air during a maneuver.

Convert this rotation from circles to Gradians.

#### Answer:

**Given:**

The angle in circles is:

Angle_{(Circles)} = 3

**Formula:**

The formula to convert angle from circles to gradians is:

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

**Substitution:**

Substitute given weight **Angle _{(Circles)} = 3** in the above formula.

Angle_{(Gradians)} = 3 × 400

Angle_{(Gradians)} = 1200

**Final Answer:**

Therefore, **3 circle** is equal to **1200 gon**.

The angle is **1200 gon**, in gradians.

## Circles to Gradians Conversion Table

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

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

0 circle | 0 gon |

1 circle | 400 gon |

10 circle | 4000 gon |

45 circle | 18000 gon |

90 circle | 36000 gon |

180 circle | 72000 gon |

360 circle | 144000 gon |

1000 circle | 400000 gon |

## 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.

## 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 Circles to Gradians in Angle?

The formula to convert Circles to Gradians in Angle is:

Circles * 400

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

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

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

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

Circles * 400

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