# Visual Degrees vs Radians
Canonical public lesson for degrees and radians.
## One picture
Degrees slice a circle into human-friendly parts. Radians measure how much radius-length fits along the arc.
## Simple idea
A radian is an angle measured by arc distance.
```text
radian angle = arc length / radius
```
On a unit circle where `radius = 1`, the radian measure equals the arc length.
## Key conversions
- `360° = 2π radians`
- `180° = π radians`
- `90° = π/2 radians`
- `1 radian ≈ 57.3°`
## Code without math libraries
```python
PI = 3.141592653589793
def deg_to_rad(deg):
return deg * PI / 180
def rad_to_deg(rad):
return rad * 180 / PI
```
Source task: `21d1aa06-cd00-4313-b981-ad415e47e22b`