How many gradians is 90 degrees?

90 × 10/9 = 100 gradians — a right angle.

How many gradians is 360 degrees?

360 × 10/9 = 400 gradians — a full circle.

Why don't engineers commonly use gradians?

Despite their decimal advantage for right angles, gradians never displaced degrees in most engineering fields. Only land surveying in some European countries adopted them consistently.

Degrees to Gradians Converter

Convert degrees to gradians for surveying and European engineering contexts. The gradian (also called gon or grad) divides the circle into 400 parts, giving surveyors a convenient right angle of exactly 100 gradians.

Formula

Multiply degrees by 10/9 (approximately 1.11111) to get gradians. To reverse, multiply gradians by 9/10 to get degrees.

Quick reference

Degree (°)	Gradian (gon)
9	10
18	20
45	50
90	100
135	150
180	200
225	250
270	300
315	350
360	400

About these units

Degree

The degree (1/360 circle) is the oldest angular measure, used in navigation and astronomy for millennia. It originates in Babylonian base-60 mathematics.

Gradian

The gradian was introduced during the French Revolution as part of the metric system's attempt to decimalize all measurements. A right angle is exactly 100 gradians, making quarter-circle and slope calculations straightforward for surveyors.

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