Convert arpent length to hiro(尋)

Learn how to convert 1 arpent length to hiro(尋) step by step.

Calculation Breakdown

Set up the equation

1.0 (a r p e n t l e n g t h) = x (h i r o (尋))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (a r p e n t l e n g t h) = 58.5216 (m e t e r) = 58.5216 (m)

Right side: 1.0 (h i r o (尋)) = \frac{20.0}{11.0} (m e t e r) = \frac{20.0}{11.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (a r p e n t l e n g t h) = x (h i r o (尋))

Insert known values =>

1.0 \times 58.5216 \times (m e t e r) = x \times \frac{20.0}{11.0} \times (m e t e r)

Or

1.0 \cdot 58.5216 \cdot (m) = x \cdot \frac{20.0}{11.0} \cdot (m)

Cancel SI units

1.0 \times 58.5216 \cdot (m) = x \times \frac{20.0}{11.0} \times (m)

Conversion Equation

58.5216 = x \times \frac{20.0}{11.0}

Switch sides

x \times \frac{20.0}{11.0} = 58.5216

Isolate

x

Multiply both sides by

(\frac{11.0}{20.0})

x \times \frac{20.0}{11.0} \times \frac{11.0}{20.0} = 58.5216 \times \frac{11.0}{20.0}

Cancel

x \times \frac{20.0 \times 11.0}{11.0 \times 20.0} = 58.5216 \times \frac{11.0}{20.0}

Simplify

x = \frac{58.5216 \times 11.0}{20.0}

Solve

x

x = 32.18688 \approx 32.1869

Conversion Equation

1.0 (a r p e n t l e n g t h) \approx 32.1869 (h i r o (尋))

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