Lux (lx) is the SI unit of illuminance, which measures the amount of light that falls on a surface. Lumen (lm) is the SI unit of luminous flux, which measures the total amount of light emitted by a source in all directions.

The formula for converting lux to lumen is:

\[\Phi = E \times A\]Where:

- \(\Phi\) = Luminous flux (lumens)
- \(E\) = Illuminance (lux)
- \(A\) = Area (square meters)

- Identify the illuminance in lux (E) and the area in square meters (A).
- If the area is given in square feet, convert it to square meters by multiplying by 0.092903.
- Apply the formula: \(\Phi = E \times A\)
- The result is the luminous flux in lumens (\(\Phi\)).

Let's calculate the luminous flux for an illuminance of 500 lux over an area of 12.57 square meters:

- \(E = 500 \text{ lx}\), \(A = 12.57 \text{ m}^2\)
- \[\begin{align} \Phi &= E \times A \\ &= 500 \text{ lx} \times 12.57 \text{ m}^2 \\ &= 6285 \text{ lumens} \end{align}\]

This diagram illustrates how an illuminance of 500 lux over an area of 12.57 square meters produces a luminous flux of 6285 lumens. The yellow circle represents the illuminated area, with the lux value shown at the center.

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