Convert square to football field

Learn how to convert 1 square to football field step by step.

Calculation Breakdown

Set up the equation

1.0 (s q u a r e) = x (f o o t b a l l f i e l d)

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

(s q u a r e m e t e r)

Left side: 1.0 (s q u a r e) = 9.290304 (s q u a r e m e t e r) = 9.290304 (m^{2})

Right side: 1.0 (f o o t b a l l f i e l d) = 8.15 \times 10^{3} (s q u a r e m e t e r) = 8.15 \times 10^{3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (s q u a r e) = x (f o o t b a l l f i e l d)

Insert known values =>

1.0 \times 9.290304 \times (s q u a r e m e t e r) = x \times 8.15 \times 10^{3} \times (s q u a r e m e t e r)

Or

1.0 \cdot 9.290304 \cdot (m^{2}) = x \cdot 8.15 \times 10^{3} \cdot (m^{2})

Cancel SI units

1.0 \times 9.290304 \cdot (m^{2}) = x \times 8.15 \times 10^{3} \times (m^{2})

Conversion Equation

9.290304 = x \times 8.15 \times 10^{3}

Switch sides

x \times 8.15 \times 10^{3} = 9.290304

Isolate

x

Multiply both sides by

(\frac{1.0}{8.15 \times 10^{3}})

x \times 8.15 \times 10^{3} \times \frac{1.0}{8.15 \times 10^{3}} = 9.290304 \times \frac{1.0}{8.15 \times 10^{3}}

Cancel

x \times 8.15 \times 10^{3} \times \frac{1.0}{8.15 \times 10^{3}} = 9.290304 \times \frac{1.0}{8.15 \times 10^{3}}

Simplify

x = \frac{9.290304}{8.15 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 9.290304}{8.15}

Solve

x

x \approx 0.0011399146 \approx 1.1399 \times 10^{- 3}

Conversion Equation

1.0 (s q u a r e) \approx 1.1399 \times 10^{- 3} (f o o t b a l l f i e l d)

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