Convert Quadrant to Turn
Type the number of quadrants that you wish to convert to turns.
How to Convert Quadrants to Turns
The quadrant and turn are both units of angle. By definition, 1 turn equals exactly 4 quadrants. This means to convert quadrants to turns, you divide by 4.
Formula
Step-by-Step Example
Convert 5 quadrant to turns:
We need to convert quadrants to turns
Since 1 turn = 4 quadrant, divide by 4
5 ÷ 4 = 1.25
5 quadrant = 1.25 turn
Quadrant to Turn Conversion Table
Quick reference table for common quadrant to turn conversions. Click any value for detailed calculation.
| Quadrants (quadrant) | Turns (turn) |
|---|---|
| 1 quadrant | 0.25 turn |
| 2 quadrant | 0.5 turn |
| 5 quadrant | 1.25 turn |
| 10 quadrant | 2.5 turn |
| 15 quadrant | 3.75 turn |
| 20 quadrant | 5 turn |
| 25 quadrant | 6.25 turn |
| 50 quadrant | 12.5 turn |
| 100 quadrant | 25 turn |
About These Units
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°.
Turn (turn)
A turn (revolution, cycle, or rotation) is one complete 360° rotation. Turns simplify rotational calculations: 0.5 turns = 180°, 0.25 turns = 90°. Used in engineering, dance choreography, and describing rotational motion. Also called "full rotation" or "cycle."
Frequently Asked Questions
How do I convert quadrants to turns?
To convert quadrants to turns, divide the value by 4. For example, 10 quadrant = 2.5 turn.
How many turns are in 1 quadrant?
1 quadrant equals 0.25 turns.
What is the formula for quadrants to turns?
The formula is: turn = quadrant ÷ 4.