How to Convert Quadrants to Degrees
To convert quadrants to degrees, multiply the value by 90.
The Formula
Degrees = Quadrants × 90
Key Fact
1 quadrant = 90 degrees
Tip: To convert degrees back to quadrants, divide by 90.
Quadrants to Degrees
Convert quadrants (quad) to degrees (°) with formulas, examples, and conversion tables.
quad
°
1 quad = 90 °
Full precision:90 °
Step-by-Step Solution
To convert 1 quadrants to degrees, we multiply by 90 because one quadrant equals exactly 90 degrees.
1 quadrant = 90 degrees
Since each quadrant contains 90 degrees, we multiply our value by this factor:
1 × 90 = 90 degrees
So 1 quadrants = 90 degrees.
Quick check: 90 ÷ 90 = 1 quadrants
Example Conversions
Example 1: 1 quad = 90 °
1 × 90 = 90
1 × 90 = 90
Example 2: 5 quad = 450 °
5 × 90 = 450
5 × 90 = 450
Example 3: 10 quad = 900 °
10 × 90 = 900
10 × 90 = 900
Quadrants to Degrees Table
| Quadrants | Degrees |
|---|---|
| 1 quad | 90 ° |
| 2 quad | 180 ° |
| 5 quad | 450 ° |
| 10 quad | 900 ° |
| 20 quad | 1800 ° |
| 25 quad | 2250 ° |
| 50 quad | 4500 ° |
| 100 quad | 9000 ° |
| 250 quad | 22500 ° |
| 500 quad | 45000 ° |
| 1000 quad | 90000 ° |
1 Quadrant in Other Units
| Unit | 1 quad = |
|---|---|
| Quadrants to Degrees | 90 ° |
| Quadrants to Radians | 1.5708 rad |
| Quadrants to Gradians | 100 grad |
| Quadrants to Turns | 0.25 turn |
| Quadrants to Arc Minutes | 5399.99 ′ |
| Quadrants to Arc Seconds | 323999.74 ″ |
| Quadrants to Milliradians | 1570.8 mrad |
| Quadrants to Revolutions | 0.25 rev |
| Quadrants to Sextants | 1.5 sext |