Illuminance Calculator: Lux from Lumens and Area or from Candela and Distance, with Foot-Candles

Lux from lumens or candela, and lux to foot-candles.

Calculated from standard textbook formulas, with every step shown. The formulas are fixed, so the working does not need checking: what matters is the numbers you type in. Use these calculators only if you are competent to choose the inputs (loads, material strength, dimensions, supports) and check your units and assumptions. For learning and checking your own working: design and sign-off are for a qualified engineer. Drafting Central does not store the numbers you type.

How this calculator works

Choose lumens on an area, candela at a distance, or a lux value to convert.

Enter the values.

The calculator gives the illuminance in lux and foot-candles.

Formulas used

  • E = \frac{\Phi}{A}
  • E = \frac{I\cos\theta}{d^2}
  • 1\ \text{fc} = 10.7639\ \text{lx}

Worked example

With the default numbers in the calculator above:

  1. Illuminance: 250 lux
  2. Illuminance in foot-candles: 23.226 foot-candles

Change the numbers in the calculator to see the full working, every step, for your own case.

A second worked example

A different case, with these numbers: What do you know? The candela of a source, its distance and the angle.

  1. Illuminance: 200 lux
  2. Illuminance in foot-candles: 18.581 foot-candles

Common questions

What is a lux?

One lumen of light falling on one square metre.

What is a foot-candle?

One lumen per square foot, which is 10.76 lux.

How much light does an office need?

About 320 lux for general office work and 500 lux for drawing and fine detail, according to lighting standards.

Related calculators

Got a question about this? Ask an engineering question and get a plain-language answer with references.

Further reading: Any lighting design text, and the lighting standard that applies to your workplace.

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