## 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.

### Millicandela to lumens calculation

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

**Φ _{v(lm)} = I_{v(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 Φ_{v }measured in lumens (lm) is apparently equal to the luminous intensity *I*_{v} measured in millicandela (mcd), multiplied by twice and half the apex angle *θ* measured in degrees (°) and finally divided by 1000.

**Φ _{v(lm)} = I_{v(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**