Candela-zu-Lumen-UmrechnerFormel

## Candela to Lumens

**Lumens = Candela x 2pi x (1 - cos(theta/2))**

Where theta is the beam angle in radians.

- **Candela** measures intensity in a specific direction
- **Lumens** measure total light output in all directions of the beam

A narrow-beam spotlight and a wide floodlight can have the same candela but very different lumens.

Lösungsbeispiel

100 candela light source with 120° beam angle.

  1. theta/2 = 60° = pi/3 radians
  2. cos(60°) = 0.5
  3. Lumens = 100 x 2pi x (1 - 0.5) = 314.2 lumens