Convert football field to square link

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

Calculation Breakdown

Set up the equation

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

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 (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})

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

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 8.15 \times 10^{3} \times (s q u a r e m e t e r) = x \times 9.290304 \times 10^{- 2} \times (s q u a r e m e t e r)

Or

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

Cancel SI units

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

Conversion Equation

8.15 \times 10^{3} = x \times 9.290304 \times 10^{- 2}

Switch sides

x \times 9.290304 \times 10^{- 2} = 8.15 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.290304 \times 10^{- 2}})

x \times 9.290304 \times 10^{- 2} \times \frac{1.0}{9.290304 \times 10^{- 2}} = 8.15 \times 10^{3} \times \frac{1.0}{9.290304 \times 10^{- 2}}

Cancel

x \times 9.290304 \times 10^{- 2} \times \frac{1.0}{9.290304 \times 10^{- 2}} = 8.15 \times 10^{3} \times \frac{1.0}{9.290304 \times 10^{- 2}}

Simplify

x = \frac{8.15 \times 10^{3}}{9.290304 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 8.15 \times 10^{3}}{9.290304}

Simplify

x = \frac{10^{5} \times 8.15}{9.290304}

Solve

x

x \approx 87725.869896 \approx 8.7726 \times 10^{4}

Conversion Equation

1.0 (f o o t b a l l f i e l d) \approx 8.7726 \times 10^{4} (s q u a r e l i n k)

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