# Radians to Gradians Calculator

## How to use this Radians to Gradians Converter 🤔

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

- Enter the input
**Radians**value in the text field. - The calculator converts the given
**Radians**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. - You can also reset the input by clicking on button present below the input field.

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

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

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

## Calculation

## Examples

### Consider that a robotic arm rotates by 1.5 radians to position an object accurately.

Convert this angle from radians to Gradians.

#### Answer

Given:

Angle in Radians = 1.5 rad

Converting Angle from Radians to Gradians...

The formula to convert from Radians to Gradians is:

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

Substitute given **Angle _{(Radians)} = 1.5** in the above formula.

Angle_{(Gradians)} = 1.5 × 200 / 3.14159265359

Angle_{(Gradians)} = 95.493

Therefore, **1.5 rad** is equal to **95.493 gon**.

### Consider that a satellite dish adjusts by 0.75 radians to align with a signal.

Convert this angle from radians to Gradians.

#### Answer

Given:

Angle in Radians = 0.75 rad

Converting Angle from Radians to Gradians...

The formula to convert from Radians to Gradians is:

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

Substitute given **Angle _{(Radians)} = 0.75** in the above formula.

Angle_{(Gradians)} = 0.75 × 200 / 3.14159265359

Angle_{(Gradians)} = 47.7465

Therefore, **0.75 rad** is equal to **47.7465 gon**.

## Radians to Gradians Conversion Table

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

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

0 rad | 0 gon |

1 rad | 63.662 gon |

10 rad | 636.6198 gon |

45 rad | 2864.789 gon |

90 rad | 5729.578 gon |

180 rad | 11459.1559 gon |

360 rad | 22918.3118 gon |

1000 rad | 63661.9772 gon |

## 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.

## 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 Radians to Gradians in Angle?

The formula to convert Radians to Gradians in Angle is:

Radians * 200 / π

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

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

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

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

Radians * 200 / π

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