Angle quadrants divide the coordinate plane into four regions. Normalizing an angle to one full turn makes it easy to decide the quadrant or axis position.
⚠Angles exactly on 0°, 90°, 180°, or 270° are axis angles, not quadrant angles.
How Quadrant Location Works
After reducing an angle to the 0°-360° range, its terminal side falls in one of four regions or on an axis. That location determines trig function signs.
Quadrant I
x and y are both positive.
Quadrant II
x is negative, y is positive.
Quadrant III
x and y are both negative.
Quadrant IV
x is positive, y is negative.
💡 Example: For 225°, the terminal side lies in Quadrant III.
Applications of Angle Quadrants
Trig SignsReference AnglesUnit CircleGraphing
Frequently Asked Questions
What is a quadrant calculator?▼
It identifies which coordinate-plane quadrant contains an angle terminal side.
How are angle quadrants determined?▼
Normalize the angle to 0°-360°, then compare it to 90°, 180°, and 270°.
How do I use this calculator?▼
Enter an angle in degrees and click Calculate.
What if the angle is on an axis?▼
Angles like 0°, 90°, 180°, and 270° lie on axes rather than inside a quadrant.
Where are quadrants used?▼
Quadrants are used for trig signs, unit circle values, graphing, and reference angles.
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