Convert barn to circular inch

Learn how to convert 1 barn to circular inch step by step.

Calculation Breakdown

Set up the equation

1.0 (b a r n) = x (c i r c u l a r i n c h)

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 (c i r c u l a r i n c h) = 5.06707479097498 \times 10^{- 4} (s q u a r e m e t e r) = 5.06707479097498 \times 10^{- 4} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (b a r n) = x (c i r c u l a r i n c h)

Insert known values =>

1.0 \times 10^{- 28} \times (s q u a r e m e t e r) = x \times 5.06707479097498 \times 10^{- 4} \times (s q u a r e m e t e r)

Or

1.0 \cdot 10^{- 28} \cdot (m^{2}) = x \cdot 5.06707479097498 \times 10^{- 4} \cdot (m^{2})

Cancel SI units

1.0 \times 10^{- 28} \cdot (m^{2}) = x \times 5.06707479097498 \times 10^{- 4} \times (m^{2})

Conversion Equation

10^{- 28} = x \times 5.06707479097498 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

{10^{- 28}}^{10^{- 24}} = x \times 5.06707479097498 \times 10^{- 4}

Simplify

10^{- 24} = x \times 5.06707479097498

Switch sides

x \times 5.06707479097498 = 10^{- 24}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.06707479097498})

x \times 5.06707479097498 \times \frac{1.0}{5.06707479097498} = 10^{- 24} \times \frac{1.0}{5.06707479097498}

Cancel

x \times 5.06707479097498 \times \frac{1.0}{5.06707479097498} = 10^{- 24} \times \frac{1.0}{5.06707479097498}

Simplify

x = \frac{10^{- 24}}{5.06707479097498}

Solve

x

x \approx 1.9735252414 \times 10^{- 25} \approx 1.9735 \times 10^{- 25}

Conversion Equation

1.0 (b a r n) \approx 1.9735 \times 10^{- 25} (c i r c u l a r i n c h)

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