## Degrees to Gradians conversion formula

**Gradians** = **Degrees** * 1.11111111

## Converting from Degrees to Gradians

Converting from degrees to gradians is a straightforward process that involves a simple mathematical calculation. Both degrees and gradians are units of measurement used to express angles, but they differ in their scales. While a circle is divided into 360 degrees, it is divided into 400 gradians.

To convert from degrees to gradians, you can use the following formula: gradians = (degrees / 360) * 400. This formula takes the given angle in degrees and divides it by 360 to obtain the fraction of a circle it represents. Then, by multiplying this fraction by 400, you can determine the equivalent angle in gradians.

For example, let's say you have an angle of 90 degrees that you want to convert to gradians. Using the formula, you would calculate: gradians = (90 / 360) * 400 = 100 gradians. Therefore, an angle of 90 degrees is equivalent to 100 gradians.

Converting between degrees and gradians can be useful in various fields, such as engineering, surveying, and navigation. It allows for easy communication and understanding of angles across different systems of measurement.

## About Degrees

Degrees (symbol: °) are a unit of measurement used to quantify angles in geometry and trigonometry. An angle is formed when two lines or rays intersect, and degrees are used to measure the amount of rotation between these lines or rays. The concept of degrees dates back to ancient civilizations, with the Babylonians being credited with the development of the sexagesimal system, which divided a circle into 360 equal parts.

In the sexagesimal system, a full circle is divided into 360 degrees, with each degree further divided into 60 minutes (symbol: '). Each minute is then divided into 60 seconds (symbol: "). This system allows for precise measurement of angles, with smaller units providing greater accuracy. Degrees are commonly used in various fields, including mathematics, physics, engineering, and navigation.

Degrees are a versatile unit of measurement, allowing for easy conversion between different angular units. For example, radians, another commonly used unit for measuring angles, can be converted to degrees by multiplying the value by 180/π (approximately 57.3°). Similarly, degrees can be converted to radians by multiplying the value by π/180. This flexibility makes degrees a convenient choice for expressing angles in everyday life and scientific calculations.

## About Gradians

Gradians, also known as gons or grads, divide a circle into 400 equal parts. This means that a right angle is equal to 100 gradians, a full circle is 400 gradians, and so on. Gradians were introduced as an alternative to degrees and radians, aiming to provide a more convenient and decimal-based system for measuring angles.

While gradians are not as commonly used as degrees or radians, they do have their applications. For example, they are often used in surveying and navigation, where angles need to be measured and calculated with high precision. Additionally, gradians can be easily converted to degrees or radians, making them a versatile unit of measurement.

While radians are the standard unit for measuring angles in mathematics and physics, gradians offer an alternative system that can be useful in specific fields. Whether it's for precise measurements in surveying or for converting between different angle units, gradians provide a decimal-based approach to quantifying angles.