Convert are to football field

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

Calculation Breakdown

Set up the equation

1.0 (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 (a r e) = 10^{2} (s q u a r e m e t e r) = 10^{2} (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 (a r e) = x (f o o t b a l l f i e l d)

Insert known values =>

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

1.0 = x \times 8.15 \times 10.0

Switch sides

x \times 8.15 \times 10.0 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{8.15 \times 10.0})

x \times 8.15 \times 10.0 \times \frac{1.0}{8.15 \times 10.0} = \times \frac{1.0}{8.15 \times 10.0}

Cancel

x \times 8.15 \times 10.0 \times \frac{1.0}{8.15 \times 10.0} = \frac{1.0}{8.15 \times 10.0}

Simplify

x = \frac{1.0}{8.15 \times 10.0}

Solve

x

x \approx 0.0122699386 \approx 1.227 \times 10^{- 2}

Conversion Equation

1.0 (a r e) \approx 1.227 \times 10^{- 2} (f o o t b a l l f i e l d)

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