Why would anyone use gradians instead of degrees?

Gradians make right angles = 100 g (round number). Useful for surveying where 90° angles are common. Most people use degrees or radians instead.

My surveying equipment shows 150 gradians. What's that in degrees?

150 × (180 ÷ 200) = 135°. Survey instruments might use gradians for precision in angle measurements.

What's the formula to convert between degrees and gradians?

Gradians = degrees × (200 ÷ 180) = degrees × (10 ÷ 9). Reverse: degrees = gradians × (9 ÷ 10).

Are gradians the same as 'gons' or 'grades'?

Yes. Gradian = gon = grade (older name). All refer to 1/400 of a circle. The term 'gradian' is standard in ISO.

Degrees to Gradians Converter

Enter a value to instantly convert between angle units.

From

Precision4 dp

1 Degree = 1.1111 Gradian

Key Formulas

Degree → Radian

rad = ° × 0.0174533

Radian → Degree

° = rad × 57.2958

Degree → Gradian

grad = ° × 1.11111

Gradian → Degree

° = grad × 0.9

Formula

gradians = degrees × (200 ÷ 180)

Gradians (also called gons or grades) divide a circle into 400 parts (instead of 360 degrees). This makes right angles = 100 gradians, useful for surveying and civil engineering. The conversion factor is 10/9 (or 200/180). Gradians are rarely used outside specialized fields.

Source: ISO 80000-3:2019 (Space and time)

Frequently Asked Questions

Real-World Examples

Right angle. 90° = 100 gradians. Easy in gradian system: right angles are round numbers.

90 ° = 100 grad

Straight line. 180° = 200 gradians. Half a circle.

180 ° = 200 grad

Full circle. 360° = 400 gradians. Complete rotation.

360 ° = 400 grad

Diagonal. 45° = 50 gradians. A nice round number in the gradian system.

45 ° = 50 grad

degrees to radians radians to degrees gradians to degrees

Degrees to Gradians Converter

Key Formulas

Formula

Frequently Asked Questions

Real-World Examples

Related Converters