How do you convert turns to gradians?

Multiply the number of turns by 400. One full turn (revolution) equals 400 gradians. For example, 0.5 turns = 200 gradians, and 2 turns = 800 gradians.

What is a turn in angle measurement?

A turn (also called revolution or cycle) is the angle of one complete rotation. It equals 360 degrees, 2π radians, or 400 gradians.

What is a gradian (gon)?

A gradian (also called gon or grad) is an angle unit where a full circle equals 400 gradians. A right angle is exactly 100 gradians, making decimal arithmetic convenient in surveying.

Why does 1 turn equal exactly 400 gradians?

The gradian system divides a full circle into 400 equal parts so that a right angle is exactly 100 gradians. Since one turn is a full circle, it spans all 400 gradians.

What is the difference between a gradian and a degree?

A full circle has 360 degrees or 400 gradians. One degree equals 10/9 gradians (about 1.1111 gon), and one gradian equals 0.9 degrees.

Where are gradians used in practice?

Gradians are the standard angular unit in many European surveying instruments and geodesy software. They make slope calculations straightforward because a 1% slope corresponds to exactly 1 gradian.

Turns to Gradians Converter

Name: Turns to Gradians Converter
Availability: InStock
Author: Nham Vu

Enter a value in turns (full rotations) and instantly get the equivalent gradians (gon), degrees, and radians.

Turns to Gradians

Turns (tr)

Gradians / Gon (g)

Formula: gradians = turns × 400

Gradians (Gon)

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Also in Degrees (°)

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Also in Radians (rad)

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Quick Reference

Turns	Gradians
0.25 tr	100g
0.5 tr	200g
0.75 tr	300g
1 tr	400g
2 tr	800g
5 tr	2,000g

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Summary

Enter a value in turns (full rotations) and instantly get the equivalent gradians (gon), degrees, and radians.

How it works

Enter a value in turns in the input field.
The equivalent gradians (gon) appear instantly below.
Degrees and radians are also shown for reference.
Use the swap button to convert from gradians back to turns.
Click the copy icon next to any result to copy it to your clipboard.

Use cases

Convert full-rotation counts from mechanical engineering to the gradian system used in civil engineering.
Translate angular displacement measured in turns into gradians for surveying instruments.
Convert gear rotation data expressed in turns to gradian-based angle calculations.
Work with European surveying software that uses gradians when source data is in turns.
Verify multi-revolution calculations in robotics or CNC machining using gradian units.
Learn the relationship between the turn (revolution) and the centesimal gradian system.

Frequently Asked Questions

Last updated: 2026-07-26 · Reviewed by Nham Vu