Degrees To Gradians Conversion

1 ° = 1.11111111111111 grad

Want to convert from gradians to degrees instead?

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How to convert degrees to gradians (° to grad)

The formula for converting degrees to gradians is: grad = ° × 1.11111111111111. To calculate the degree value in gradians first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in gradians we follow these steps:

grad = ° × 1.11111111111111

grad = 1 × 1.11111111111111

grad = 1.11111111111111

In other words, 1 degree is equal to 1.11111111111111 gradians.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 8 degrees to gradians is:

Understand the conversion formula: grad = ° × 1.11111111111111
Substitute the required value. In this case we substitute 8 for ° so the formula becomes: grad = 8 × 1.11111111111111
Calculate the result using the provided values. In our example the result is: 8 × 1.11111111111111 = 8.88888888888888 grad

In summary, 8 degrees is equal to 8.88888888888888 gradians.

Converting gradians to degrees

In order to convert the other way around i.e. gradians to degrees, you would use the following formula: ° = grad × 0.9. To convert gradians to degrees first substitute the gradian value into the above formula, and then execute the calculation. If we wanted to calculate 1 gradian in degrees we follow these steps:

° = grad × 0.9

° = 1 × 0.9

° = 0.9

Or in other words, 1 gradian is equal to 0.9 degrees.

Conversion Unit Definitions

What is a Degree?

A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.

To better understand this definition, it's important to note that a circle has 360 degrees. Therefore, an angle that spans one quarter of a circle (i.e., 90 degrees) is a right angle, while an angle that spans half a circle (i.e., 180 degrees) is a straight angle.

When measuring angles, degrees are usually denoted using the degree symbol (°), which is placed after the numerical value of the angle. For example, an angle of 45 degrees would be written as 45°.

What is a Gradian?

The gradian is a unit of measure for angles, which is used to quantify the size of an angle. One gradian is defined as 1/400th of a full rotation, which is a complete revolution around a circle.

To better understand this definition, it's important to note that a circle has 400 gradians. Therefore, an angle that spans one quarter of a circle (i.e., 100 gradians) is a right angle, while an angle that spans half a circle (i.e., 200 gradians) is a straight angle.

Gradians can be converted to degrees using the following formula: degrees = (gradians/400) x 360. Similarly, degrees can be converted to gradians using the formula: gradians = (degrees/360) x 400.