Radians to Circles Converter
Convert radians to circles (complete rotations). 2π radians equals one full circle.
rad
Result
0 circles
Common Radians to Circles Conversions
| Radians (rad) | Circles |
|---|---|
| π/2 ≈ 1.5708 rad | 0.25 circle |
| π ≈ 3.1416 rad | 0.5 circle |
| 3π/2 ≈ 4.7124 rad | 0.75 circle |
| 2π ≈ 6.2832 rad | 1 circle |
| 4π ≈ 12.5664 rad | 2 circles |
| 10π ≈ 31.4159 rad | 5 circles |
| 20π ≈ 62.8319 rad | 10 circles |
How to Convert Radians to Circles
One circle equals 2π radians (approximately 6.283185). Divide radians by 2π to get the number of circles.
The Conversion Formula
circles = radians ÷ 2π
Example: Converting π Radians to Circles
circles = π ÷ 2π = 0.5 circles
Understanding the Relationship
Why 2π? The radian is defined as the angle subtended by an arc equal in length to the radius. A full circle's circumference is 2πr, so there are 2π radians in a circle.