Candela to Lumens Converter

Convert luminous intensity (candela) to luminous flux (lumens) based on the beam angle of the light source.

cd
degrees

Lumens

314.2

Formula

## 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.

Exemplo Resolvido

100 candela light source with 120° beam angle.

  1. 01theta/2 = 60° = pi/3 radians
  2. 02cos(60°) = 0.5
  3. 03Lumens = 100 x 2pi x (1 - 0.5) = 314.2 lumens

Perguntas Frequentes

What is a candela?

A candela is the SI unit of luminous intensity -- the amount of light emitted in a specific direction. One candela is roughly the light intensity of a common candle.

Why does beam angle matter?

A narrow beam concentrates light into a small cone, producing high candela from fewer lumens. A wide beam spreads the same lumens over a larger area, yielding fewer candela.

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