How to Convert Radians to Quadrants
To convert radians to quadrants, divide the value by 1.5708.
The Formula
Quadrants = Radians ÷ 1.5708
Key Fact
1 quadrant = 1.5708 radians
Tip: To convert quadrants back to radians, multiply by 1.5708.
Radians to Quadrants
Convert radians (rad) to quadrants (quad) with formulas, examples, and conversion tables.
rad
quad
1 rad = 0.63662 quad
Full precision:0.63662 quad
Step-by-Step Solution
To convert 1 radians to quadrants, we divide by 1.5708 because one quadrant equals exactly 1.5708 radians.
1 quadrant = 1.5708 radians
Since there are 1.5708 radians in every quadrant, we divide our value by this factor:
1 ÷ 1.5708 = 0.63662 quadrants
So 1 radians = 0.63662 quadrants.
Quick check: 0.63662 × 1.5708 = 1 radians
Example Conversions
Example 1: 1 rad = 0.63662 quad
1 ÷ 1.5708 = 0.63662
1 ÷ 1.5708 = 0.63662
Example 2: 5 rad = 3.1831 quad
5 ÷ 1.5708 = 3.1831
5 ÷ 1.5708 = 3.1831
Example 3: 10 rad = 6.3662 quad
10 ÷ 1.5708 = 6.3662
10 ÷ 1.5708 = 6.3662
Radians to Quadrants Table
| Radians | Quadrants |
|---|---|
| 1 rad | 0.63662 quad |
| 2 rad | 1.2732 quad |
| 5 rad | 3.1831 quad |
| 10 rad | 6.3662 quad |
| 20 rad | 12.7324 quad |
| 25 rad | 15.9155 quad |
| 50 rad | 31.831 quad |
| 100 rad | 63.662 quad |
| 250 rad | 159.155 quad |
| 500 rad | 318.31 quad |
| 1000 rad | 636.62 quad |
1 Radian in Other Units
| Unit | 1 rad = |
|---|---|
| Radians to Degrees | 57.2958 ° |
| Radians to Gradians | 63.662 grad |
| Radians to Turns | 0.15915 turn |
| Radians to Arc Minutes | 3437.74 ′ |
| Radians to Arc Seconds | 206264.71 ″ |
| Radians to Milliradians | 1000 mrad |
| Radians to Revolutions | 0.15915 rev |
| Radians to Quadrants | 0.63662 quad |
| Radians to Sextants | 0.95493 sext |