Convert are to carreau

Learn how to convert 1 are to carreau step by step.

Calculation Breakdown

Set up the equation

1.0 (a r e) = 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 (a r e) = 10^{2} (s q u a r e m e t e r) = 10^{2} (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 (a r e) = x (c a r r e a u)

Insert known values =>

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

Cancel SI units

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

Conversion Equation

10^{2} = x \times 1.29 \times 10^{4}

Cancel factors on both sides

Cancel factors

10^{2} = x \times 1.29 \times {10^{4}}^{10^{2}}

Simplify

1.0 = x \times 1.29 \times 10^{2}

Switch sides

x \times 1.29 \times 10^{2} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.29 \times 10^{2}})

x \times 1.29 \times 10^{2} \times \frac{1.0}{1.29 \times 10^{2}} = \times \frac{1.0}{1.29 \times 10^{2}}

Cancel

x \times 1.29 \times 10^{2} \times \frac{1.0}{1.29 \times 10^{2}} = \frac{1.0}{1.29 \times 10^{2}}

Simplify

x = \frac{1.0}{1.29 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2}}{1.29}

Solve

x

x \approx 0.007751938 \approx 7.7519 \times 10^{- 3}

Conversion Equation

1.0 (a r e) \approx 7.7519 \times 10^{- 3} (c a r r e a u)

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