How to Convert Quadrants to Radians
To convert quadrants to radians, multiply the value by 1.5708.
The Formula
Radians = Quadrants × 1.5708
Key Fact
1 quadrant = 1.5708 radians
Tip: To convert radians back to quadrants, divide by 1.5708.
Quadrants to Radians
Convert quadrants (quad) to radians (rad) with formulas, examples, and conversion tables.
quad
rad
1 quad = 1.5708 rad
Full precision:1.5708 rad
Step-by-Step Solution
To convert 1 quadrants to radians, we multiply by 1.5708 because one quadrant equals exactly 1.5708 radians.
1 quadrant = 1.5708 radians
Since each quadrant contains 1.5708 radians, we multiply our value by this factor:
1 × 1.5708 = 1.5708 radians
So 1 quadrants = 1.5708 radians.
Quick check: 1.5708 ÷ 1.5708 = 1 quadrants
Example Conversions
Example 1: 1 quad = 1.5708 rad
1 × 1.5708 = 1.5708
1 × 1.5708 = 1.5708
Example 2: 5 quad = 7.854 rad
5 × 1.5708 = 7.854
5 × 1.5708 = 7.854
Example 3: 10 quad = 15.708 rad
10 × 1.5708 = 15.708
10 × 1.5708 = 15.708
Quadrants to Radians Table
| Quadrants | Radians |
|---|---|
| 1 quad | 1.5708 rad |
| 2 quad | 3.1416 rad |
| 5 quad | 7.854 rad |
| 10 quad | 15.708 rad |
| 20 quad | 31.4159 rad |
| 25 quad | 39.2699 rad |
| 50 quad | 78.5398 rad |
| 100 quad | 157.08 rad |
| 250 quad | 392.699 rad |
| 500 quad | 785.398 rad |
| 1000 quad | 1570.8 rad |
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 |