Convert football field to carreau

Learn how to convert 1 football field to carreau 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 (c a r r e a u)

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 (c a r r e a u) = 1.29 \times 10^{4} (s q u a r e m e t e r) = 1.29 \times 10^{4} (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 (c a r r e a u)

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 1.29 \times 10^{4} \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 1.29 \times 10^{4} \cdot (m^{2})

Cancel SI units

1.0 \times 8.15 \times 10^{3} \cdot (m^{2}) = x \times 1.29 \times 10^{4} \times (m^{2})

Conversion Equation

8.15 \times 10^{3} = x \times 1.29 \times 10^{4}

Cancel factors on both sides

Cancel factors

8.15 \times 10^{3} = x \times 1.29 \times {10^{4}}^{10}

Simplify

8.15 = x \times 1.29 \times 10.0

Switch sides

x \times 1.29 \times 10.0 = 8.15

Isolate

x

Multiply both sides by

(\frac{1.0}{1.29 \times 10.0})

x \times 1.29 \times 10.0 \times \frac{1.0}{1.29 \times 10.0} = 8.15 \times \frac{1.0}{1.29 \times 10.0}

Cancel

x \times 1.29 \times 10.0 \times \frac{1.0}{1.29 \times 10.0} = 8.15 \times \frac{1.0}{1.29 \times 10.0}

Simplify

x = \frac{8.15}{1.29 \times 10.0}

Solve

x

x \approx 0.6317829457 \approx 6.3178 \times 10^{- 1}

Conversion Equation

1.0 (f o o t b a l l f i e l d) \approx 6.3178 \times 10^{- 1} (c a r r e a u)

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