# Gradians to Radians Calculator

## How to use this Gradians to Radians Converter 🤔

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

- Enter the input
**Gradians**value in the text field. - The calculator converts the given
**Gradians**into**Radians**in realtime ⌚ using the conversion formula, and displays under the**Radians**label. You do not need to click any button. If the input changes,**Radians**value is re-calculated, just like that. - You may copy the resulting
**Radians**value using the Copy button. - You can also reset the input by clicking on button present below the input field.

## What is the Formula to convert Gradians to Radians?

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

Angle_{(Radians)} = Angle_{(Gradians)} × π / 200

## Calculation

## Examples

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

Convert this angle from gradians to Radians.

#### Answer

Given:

Angle in Gradians = 100 gon

Converting Angle from Gradians to Radians...

The formula to convert from Gradians to Radians is:

Angle_{(Radians)} = Angle_{(Gradians)} × π / 200

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

Angle_{(Radians)} = 100 × 3.14159265359 / 200

Angle_{(Radians)} = 1.5708

Therefore, **100 gon** is equal to **1.5708 rad**.

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

Convert this angle from gradians to Radians.

#### Answer

Given:

Angle in Gradians = 90 gon

Converting Angle from Gradians to Radians...

The formula to convert from Gradians to Radians is:

Angle_{(Radians)} = Angle_{(Gradians)} × π / 200

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

Angle_{(Radians)} = 90 × 3.14159265359 / 200

Angle_{(Radians)} = 1.4137

Therefore, **90 gon** is equal to **1.4137 rad**.

## Gradians to Radians Conversion Table

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

Gradians (gon) | Radians (rad) |
---|---|

0 gon | 0 rad |

1 gon | 0.01570796327 rad |

10 gon | 0.1571 rad |

45 gon | 0.7069 rad |

90 gon | 1.4137 rad |

180 gon | 2.8274 rad |

360 gon | 5.6549 rad |

1000 gon | 15.708 rad |

## 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.

## Radians

Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.

## Frequently Asked Questions (FAQs)

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

The formula to convert Gradians to Radians in Angle is:

Gradians * π / 200

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

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

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

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

Gradians * π / 200

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 Radians.