Convert Turns to Gradians

A turn is one full rotation around a circle. A gradian (also called a grad or gon) is an angle unit that splits a full circle into 400 equal parts. That means 1 full turn = 400 gradians.

To convert turns to gradians, multiply by 400:

• gradians = turns × 400

Examples:

• 0.25 turns = 0.25 × 400 = 100 gradians (a right angle)
• 0.5 turns = 0.5 × 400 = 200 gradians
• 1.75 turns = 1.75 × 400 = 700 gradians

Use this rule any time you need a quick turns to gradians conversion for angles, rotation, or geometry.

What are turns and gradians?

A turn is a full rotation around a circle. One turn equals 360 degrees.
A gradian (also called gon) splits a full turn into 400 equal parts. So, one full turn equals 400 gradians.

What is the formula to convert turns to gradians?

Use this direct formula:

gradians = turns × 400

It works for whole turns, fractions, and decimals.

How many gradians are in 1 turn?

1 turn = 400 gradians

This is the base value for all turns-to-gradians conversions.

How do you convert a fraction of a turn to gradians?

Multiply the fraction by 400.

• 1/2 turn = 0.5 × 400 = 200 gradians
• 1/4 turn = 0.25 × 400 = 100 gradians
• 3/4 turn = 0.75 × 400 = 300 gradians

How do you convert decimal turns to gradians?

Multiply the decimal by 400.

• 0.1 turn = 0.1 × 400 = 40 gradians
• 0.25 turn = 0.25 × 400 = 100 gradians
• 1.5 turns = 1.5 × 400 = 600 gradians

What is 0.01 turn in gradians?

0.01 turn = 0.01 × 400 = 4 gradians

This is useful for fine rotation steps and small angle work.

Are gradians the same as degrees?

No. They measure angles in different units.

• 1 turn = 360 degrees = 400 gradians
• 1 degree = 10/9 gradians (about 1.111...)
• 1 gradian = 0.9 degrees

How do turns to gradians conversions work for negative turns?

Negative turns convert the same way. The sign stays the same.

gradians = turns × 400

Example:
-0.5 turn = -0.5 × 400 = -200 gradians

Can gradians be used for bearings and direction?

Yes. Gradians are common in some surveying and mapping systems.

A full circle is 400 gradians, and right angles are easy to read:
90 degrees = 100 gradians
That makes quarter-turn directions simple to express.

Why does 1 turn equal 400 gradians?

Gradians were designed to make right angles and decimal splits easier.

• Full turn: 400 gradians
• Right angle (quarter turn): 100 gradians
• Straight angle (half turn): 200 gradians

These values stay clean and easy to work with.

What are common turn to gradian conversions?

Here are quick reference values:

• 0.25 turn = 100 gradians
• 0.5 turn = 200 gradians
• 0.75 turn = 300 gradians
• 1 turn = 400 gradians
• 2 turns = 800 gradians

What is the reverse conversion from gradians to turns?

To convert back, divide by 400:

turns = gradians ÷ 400

Example:
50 gradians = 50 ÷ 400 = 0.125 turn