# Millicandela to lumens calculator

## Millicandela to lumens calculator

We are offering Online calculator to make calculation from Millicandela (mcd) to lumens (lm), check now!

### Millicandela to lumens calculator

Enter the values of luminous flux in lumens, and enter the values of apex angle in degrees and hit the equal to button to obtain luminous intensity in millicandela.

 Enter Luminous intensity result in millicandela: mcd Enter apex angle in degrees: ° luminous flux result in lumens: lm

### Millicandela to lumens calculation

The formula used to calculate the uniform, isotropic light source, the luminous flux Φv in lumens (lm) is apparently equal to the luminous intensity Iv measured in millicandela (mcd), multiplied by the solid angle Ω in steradians (sr) which is totally divided by 1000.

Φv(lm) = Iv(mcd) × Ω(sr) / 1000

The value of solid angle Ω in steradians (sr) is apparently equal to twice the value of pi times 1 minus cosine of half the apex angle θ measured in degrees (°):

Ω(sr) = 2π(1 – cos(θ/2))

The value of luminous flux Φv measured in lumens (lm) is apparently equal to the luminous intensity Iv measured in millicandela (mcd), multiplied by twice and half the apex angle θ measured in degrees (°) and finally divided by 1000.

Φv(lm) = Iv(mcd) × ( 2π(1 – cos(θ/2)) ) / 1000

So, the value can be found by,

lumens = millicandela × ( 2π(1 – cos(degrees/2)) ) / 1000

Or, the formula uses is,

lm = mcd × ( 2π(1 – cos(°/2)) ) / 1000