Convert barn to are

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

Calculation Breakdown

Set up the equation

1.0 (b a r n) = x (a r e)

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 (b a r n) = 10^{- 28} (s q u a r e m e t e r) = 10^{- 28} (m^{2})

Right side: 1.0 (a r e) = 10^{2} (s q u a r e m e t e r) = 10^{2} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (b a r n) = x (a r e)

Insert known values =>

1.0 \times 10^{- 28} \times (s q u a r e m e t e r) = x \times 10^{2} \times (s q u a r e m e t e r)

Or

1.0 \cdot 10^{- 28} \cdot (m^{2}) = x \cdot 10^{2} \cdot (m^{2})

Cancel SI units

1.0 \times 10^{- 28} \cdot (m^{2}) = x \times 10^{2} \times (m^{2})

Conversion Equation

10^{- 28} = x \times 10^{2}

Switch sides

x \times 10^{2} = 10^{- 28}

Isolate

x

Multiply both sides by

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

x \times 10^{2} \times \frac{1.0}{10^{2}} = 10^{- 28} \times \frac{1.0}{10^{2}}

Cancel

x \times 10^{2} \times \frac{1.0}{10^{2}} = 10^{- 28} \times \frac{1.0}{10^{2}}

Simplify

x = \frac{10^{- 28}}{10^{2}}

Rewrite equation

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

Rewrite

x = 10^{- 2} \times 10^{- 28}

Simplify

x = 10^{- 30}

Solve

x

x = 10^{- 30}

Conversion Equation

1.0 (b a r n) = 10^{- 30} (a r e)

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