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Millicandela to Lumens Calculator

Convert luminous intensity (millicandela) and apex angle to luminous flux (lumens).

Input Data

Input Luminous intensity I.
mcd
Input Apex angle θ.
°

Results

0.214094lm
Φ = (I / 1000) × Ω = (1000 mcd / 1000) × 0.214094 sr = 0.214094 lm

At a glance:Millicandela to Lumens Calculator: enter parameters to compute results; complements related calculators.

Formula

Φ = (I / 1000) × Ω

Ω = 2π(1 − cos(θ/2)), I in mcd

How to Use

  1. Enter luminous intensity I (millicandela).
  2. Enter apex angle θ (full angle, degrees).
  3. Get luminous flux Φ (lumens).

Case Studies

1000 mcd, apex 180°

I = 1 cd, Ω = 6.283 sr, Φ = 1 × 6.283 ≈ 6.283 lm.

FAQ

Effect of apex angle?

Same intensity, smaller angle → more concentrated but less total flux.

Vs lumens-to-millicandela?

It is the inverse conversion.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Millicandela to Lumens Calculator（/light/millicandela-to-lumens）。