Convert gradians to turns

Enter the number of gradians that you want to convert to turns.

1 grad (gradians) = 0.0025 turn (turns)

How to Convert Gradians to Turns

The gradian and turn are both units of angle. By definition, 1 turn equals exactly 400 gradians. This means to convert gradians to turns, you divide by 400.

Formula

turns = gradians ÷ 400

Step-by-Step Example

Convert 5 grad to turns:

1
Convert 5 grad to turns

We need to convert gradians to turns

2
Apply the formula

Since 1 turn = 400 grad, divide by 400

5 ÷ 400 = 0.0125

Answer

5 grad = 0.0125 turn

Gradian to Turn Conversion Table

Quick reference table for common gradian to turn conversions. Click any value for detailed calculation.

Gradians (grad) Turns (turn)
0.1 grad 0.00025 turn
0.5 grad 0.00125 turn
1 grad 0.0025 turn
2 grad 0.005 turn
5 grad 0.0125 turn
10 grad 0.025 turn
25 grad 0.0625 turn
50 grad 0.125 turn
100 grad 0.25 turn

About These Units

Gradian (grad)

A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.

Turn (turn)

A turn (revolution, cycle, or rotation) is one complete 360° rotation. Turns simplify rotational calculations: 0.5 turns = 180°, 0.25 turns = 90°. Used in engineering, dance choreography, and describing rotational motion. Also called "full rotation" or "cycle."

Frequently Asked Questions

How do I convert gradians to turns?

To convert gradians to turns, divide the value by 400. For example, 10 grad = 0.025 turn.

How many turns are in 1 gradian?

1 gradian equals 0.0025 turns.

What is the formula for gradians to turns?

The formula is: turn = grad ÷ 400.