Gradians to Turns Converter

Enter Gradians


Turns





⇅ Switch toTurns to Gradians Converter

How to use this Gradians to Turns Converter 🤔

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

  1. Enter the input Gradians value in the text field.
  2. The calculator converts the given Gradians into Turns in realtime ⌚ using the conversion formula, and displays under the Turns label. You do not need to click any button. If the input changes, Turns value is re-calculated, just like that.
  3. You may copy the resulting Turns value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Gradians to Turns?

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

Angle(Turns) = Angle(Gradians) / 400

Substitute the given value of angle in gradians, i.e., Angle(Gradians) in the above formula and simplify the right-hand side value. The resulting value is the angle in turns, i.e., Angle(Turns).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a precision engineering tool adjusts by 100 gradians.
Convert this angle from gradians to Turns.

Answer:

Given:

The angle in gradians is:

Angle(Gradians) = 100

Formula:

The formula to convert angle from gradians to turns is:

Angle(Turns) = Angle(Gradians) / 400

Substitution:

Substitute given weight Angle(Gradians) = 100 in the above formula.

Angle(Turns) = 100 / 400

Angle(Turns) = 0.25

Final Answer:

Therefore, 100 gon is equal to 0.25 turn.

The angle is 0.25 turn, in turns.

2

Consider that a civil engineer designs a slope with an angle of 90 gradians.
Convert this angle from gradians to Turns.

Answer:

Given:

The angle in gradians is:

Angle(Gradians) = 90

Formula:

The formula to convert angle from gradians to turns is:

Angle(Turns) = Angle(Gradians) / 400

Substitution:

Substitute given weight Angle(Gradians) = 90 in the above formula.

Angle(Turns) = 90 / 400

Angle(Turns) = 0.225

Final Answer:

Therefore, 90 gon is equal to 0.225 turn.

The angle is 0.225 turn, in turns.

Gradians to Turns Conversion Table

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

Gradians (gon)Turns (turn)
0 gon0 turn
1 gon0.0025 turn
10 gon0.025 turn
45 gon0.1125 turn
90 gon0.225 turn
180 gon0.45 turn
360 gon0.9 turn
1000 gon2.5 turn

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.

Turns

A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Gradians to Turns in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Gradians to Turns?