Convert candela / square foot to lumen / (square foot • steradian)

Learn how to convert 1 candela / square foot to lumen / (square foot • steradian) step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{c a n d e l a}{s q u a r e f o o t}) = x (\frac{l u m e n}{s q u a r e f o o t \times s t e r a d i a n})

Define the base values of the selected units in relation to the SI unit

(\frac{c a n d e l a}{s q u a r e m e t e r})

Left side: 1.0 (\frac{c a n d e l a}{s q u a r e f o o t}) = \frac{1.0}{9.290304 \times 10^{- 2}} (\frac{c a n d e l a}{s q u a r e m e t e r}) = \frac{1.0}{9.290304 \times 10^{- 2}} (\frac{c d}{m^{2}})

Right side: 1.0 (\frac{l u m e n}{s q u a r e f o o t \times s t e r a d i a n}) = \frac{1.0}{9.290304 \times 10^{- 2}} (\frac{c a n d e l a}{s q u a r e m e t e r}) = \frac{1.0}{9.290304 \times 10^{- 2}} (\frac{c d}{m^{2}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{c a n d e l a}{s q u a r e f o o t}) = x (\frac{l u m e n}{s q u a r e f o o t \times s t e r a d i a n})

Insert known values =>

1.0 \times \frac{1.0}{9.290304 \times 10^{- 2}} \times (\frac{c a n d e l a}{s q u a r e m e t e r}) = x \times \frac{1.0}{9.290304 \times 10^{- 2}} \times (\frac{c a n d e l a}{s q u a r e m e t e r})

Or

1.0 \cdot \frac{1.0}{9.290304 \times 10^{- 2}} \cdot (\frac{c d}{m^{2}}) = x \cdot \frac{1.0}{9.290304 \times 10^{- 2}} \cdot (\frac{c d}{m^{2}})

Cancel SI units

1.0 \times \frac{1.0}{9.290304 \times 10^{- 2}} \cdot (\frac{c d}{m^{2}}) = x \times \frac{1.0}{9.290304 \times 10^{- 2}} \times (\frac{c d}{m^{2}})

Conversion Equation

\frac{1.0}{9.290304 \times 10^{- 2}} = x \times \frac{1.0}{9.290304 \times 10^{- 2}}

Cancel factors on both sides

Cancel factors

\frac{1.0}{9.290304 \times 10^{- 2}} = x \times \frac{1.0}{9.290304 \times 10^{- 2}}

Simplify

1.0 = x

Switch sides

x = 1.0

Solve

x

x = 1

Conversion Equation

1.0 (\frac{c a n d e l a}{s q u a r e f o o t}) = 1 (\frac{l u m e n}{s q u a r e f o o t \times s t e r a d i a n})

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