How many degrees is 100 gradians?

100 × 0.9 = 90 degrees — a right angle.

How many degrees is 400 gradians?

400 × 0.9 = 360 degrees — a full circle.

When would I use gradians instead of degrees?

Primarily in land surveying with European geodetic instruments. Tacheometers and theodolites used in France and surrounding countries often display angles in gradians (gon).

Gradians to Degrees Converter

Convert gradians to degrees when working with surveying equipment that uses gradian (gon) scales, or when comparing European engineering angles with the degree-based system used in most other contexts.

Formula

Multiply gradians by 0.9 to get degrees. To reverse, divide degrees by 0.9 to get gradians.

Quick reference

Gradian (gon)	Degree (°)
100	90
200	180
300	270
400	360
50	45
150	135
250	225
350	315
10	9
90	81

About these units

Gradian

The gradian (also called gon) was introduced during the French Revolution as part of the effort to decimalize all measurement. With 400 gradians in a full circle, a right angle equals exactly 100 gradians, simplifying decimal calculations.

Degree

The degree (360 per circle) has been in use since Babylonian astronomy. Its 360-part circle divides evenly by many integers (2, 3, 4, 5, 6, 8, 9, 10, 12...) making fractional angles intuitive for navigation and geometry.

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