Enter the quantity of light emitted (lumens) and the light intensity (lumen/m^2) into the Optical Distance Calculator. The calculator will evaluate and display the Optical Distance.

## Optical Distance Formula

The following formula is used to calculate the Optical Distance.

D = SQRT (Q / E)
• Where D is the Optical Distance (m)
• Q is the quantity of light emitted (lumens)
• E is the light intensity (lumen/m^2)

To calculate optical distance from lumens, take the square root of the quantity of light divided by the light intensity.

## How to Calculate Optical Distance?

The following example problems outline how to calculate Optical Distance.

Example Problem #1:

1. First, determine the quantity of light emitted (lumens).
• The quantity of light emitted (lumens) is given as: 50.
2. Next, determine the light intensity (lumen/m^2).
• The light intensity (lumen/m^2) is provided as: 20.
3. Finally, calculate the Optical Distance using the equation above:

D = SQRT (Q / E)

The values given above are inserted into the equation below and the solution is calculated:

D = SQRT (50 / 20) = 1.581 (m)

Example Problem #2:

For this problem, the variables needed are provided below:

quantity of light emitted (lumens) = 70

light intensity (lumen/m^2) = 50

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.

D = SQRT (Q / E) = ?