15 Gon Calculator

This 15 gon calculator helps you convert between degrees and gons (grads), two different angle measurement units. Gons are commonly used in surveying and engineering, while degrees are more familiar in everyday contexts.

What is a gon?

A gon is a unit of angle measurement equal to 1/400 of a full circle. This makes it equivalent to 0.9 degrees. The term "gon" comes from the Greek word "gonia," meaning angle.

In surveying and engineering, gons are often preferred over degrees because they provide a more straightforward relationship with the metric system. For example, a right angle is 100 gons, and a full circle is 400 gons.

Key difference

1 gon = 0.9 degrees
1 degree = 1.111... gons

Conversion formula

To convert degrees to gons, multiply the degree value by 1.111111 (which is 10/9). To convert gons to degrees, multiply by 0.9.

Degrees to Gons: gon = degrees × 1.111111 Gons to Degrees: degrees = gons × 0.9

These formulas are based on the fact that a full circle is 360 degrees and 400 gons, so the conversion factor is 400/360 = 10/9 ≈ 1.111111.

How to use this calculator

Enter the angle value you want to convert in either degrees or gons
Select the input unit (degrees or gons)
Click "Calculate" to see the converted value
The result will appear in the other unit
Use the "Reset" button to clear all fields

The calculator will automatically perform the conversion and display the result in the appropriate unit. You can switch between degrees and gons at any time.

Examples

Example 1: Converting 90 degrees to gons

Using the formula: gon = 90 × 1.111111 ≈ 100 gons

A right angle (90 degrees) is exactly 100 gons in this system.

Example 2: Converting 200 gons to degrees

Using the formula: degrees = 200 × 0.9 = 180 degrees

200 gons is equivalent to a straight angle (180 degrees).

Example 3: Converting 15 gons to degrees

Using the formula: degrees = 15 × 0.9 = 13.5 degrees

This is useful in surveying when dealing with small angles.

FAQ

Why are gons used instead of degrees?: Gons are often preferred in surveying and engineering because they provide a more straightforward relationship with the metric system. For example, a right angle is exactly 100 gons, which is easier to work with than 90 degrees.
Is 15 gon a standard angle?: 15 gons is approximately 13.5 degrees, which is not a standard angle in common use. However, it can be useful in specific surveying or engineering applications where precise angle measurements are needed.
Can I use this calculator for other angle conversions?: This calculator specifically converts between degrees and gons. For other angle conversions (like radians or mils), you would need a different calculator.
Why does the conversion factor change?: The conversion factor between degrees and gons is fixed because a full circle is defined as 360 degrees and 400 gons. This means the relationship between the two units is constant.
Is there a difference between gons and grads?: Yes, gons and grads are essentially the same unit. The term "grad" is sometimes used in Europe, while "gon" is more common in some other regions. They represent the same angle measurement system.