Convert Gradian to Quadrant

Enter the number of gradians that you want to convert to quadrants.

1 grad (gradians) = 0.01 quadrant (quadrants)

How to Convert Gradians to Quadrants

The gradian and quadrant are both units of angle. By definition, 1 quadrant equals exactly 100 gradians. This means to convert gradians to quadrants, you divide by 100.

Formula

quadrants = gradians ÷ 100

Step-by-Step Example

Convert 5 grad to quadrants:

1
Convert 5 grad to quadrants

We need to convert gradians to quadrants

2
Apply the formula

Since 1 quadrant = 100 grad, divide by 100

5 ÷ 100 = 0.05

Answer

5 grad = 0.05 quadrant

Gradian to Quadrant Conversion Table

Quick reference table for common gradian to quadrant conversions. Click any value for detailed calculation.

Gradians (grad) Quadrants (quadrant)
1 grad 0.01 quadrant
2 grad 0.02 quadrant
5 grad 0.05 quadrant
10 grad 0.1 quadrant
15 grad 0.15 quadrant
20 grad 0.2 quadrant
25 grad 0.25 quadrant
50 grad 0.5 quadrant
100 grad 1 quadrant

About These Units

Gradian (grad)

A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.

Quadrant (quadrant)

A quadrant is 1/4 of a circle or 90°, representing a right angle. Quadrants divide the coordinate plane and compass into four sections: NE, SE, SW, NW. Astronomical quadrants were historical instruments for measuring celestial angles up to 90°.

Frequently Asked Questions

How do I convert gradians to quadrants?

To convert gradians to quadrants, divide the value by 100. For example, 10 grad = 0.1 quadrant.

How many quadrants are in 1 gradian?

1 gradian equals 0.01 quadrants.

What is the formula for gradians to quadrants?

The formula is: quadrant = grad ÷ 100.