Gradians To Degrees Conversion

1 grad = 0.9 °

Want to convert from degrees to gradians instead?

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How to convert gradians to degrees (grad to °)

The formula for converting gradians to degrees is: ° = grad × 0.9. To calculate the gradian value in degrees first substitute the gradian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 gradian in degrees we follow these steps:

° = grad × 0.9

° = 1 × 0.9

° = 0.9

In other words, 1 gradian is equal to 0.9 degrees.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 7 gradians to degrees is:

Understand the conversion formula: ° = grad × 0.9
Substitute the required value. In this case we substitute 7 for grad so the formula becomes: ° = 7 × 0.9
Calculate the result using the provided values. In our example the result is: 7 × 0.9 = 6.3 °

In summary, 7 gradians is equal to 6.3 degrees.

Converting degrees to gradians

In order to convert the other way around i.e. degrees to gradians, you would use the following formula: grad = ° × 1.11111111111111. To convert degrees to gradians first substitute the degree value into the above formula, and then execute 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

Or in other words, 1 degree is equal to 1.11111111111111 gradians.

Conversion Unit Definitions

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.

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°.