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Cone Lumens Calculator

Compute cone lumens Φ = I·2π(1−cos(θ/2)) from intensity and beam angle.

Input Data

Input Luminous intensity I.
cd
Input Beam angle θ.
°

Results

214.0943lm
Φ = I·2π(1−cos(θ/2)).

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

Formula

Φ = I·2π(1 − cos(θ/2)).

How to Use

  1. Enter luminous intensity and beam angle (deg).
  2. It returns total cone lumens.

Case Studies

I=1000 cd, θ=30° → Φ≈214.1 lm

Φ = 1000·2π(1−cos15°) ≈ 214.1 lm.

FAQ

Vs isotropic lumens?

Isotropic I gives Φ=4πI; here only the cone fraction, smaller angle → fewer lumens.

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:Cone Lumens Calculator/light/cone-lumens)。