Convert acre to rai

Learn how to convert 1 acre to rai step by step.

Calculation Breakdown

Set up the equation

1.0 (a c r e) = x (r a i)

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 c r e) = 6555.0 (s q u a r e m e t e r) = 6555.0 (m^{2})

Right side: 1.0 (r a i) = 1.6 \times 10^{3} (s q u a r e m e t e r) = 1.6 \times 10^{3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (a c r e) = x (r a i)

Insert known values =>

1.0 \times 6555.0 \times (s q u a r e m e t e r) = x \times 1.6 \times 10^{3} \times (s q u a r e m e t e r)

Or

1.0 \cdot 6555.0 \cdot (m^{2}) = x \cdot 1.6 \times 10^{3} \cdot (m^{2})

Cancel SI units

1.0 \times 6555.0 \cdot (m^{2}) = x \times 1.6 \times 10^{3} \times (m^{2})

Conversion Equation

6555.0 = x \times 1.6 \times 10^{3}

Switch sides

x \times 1.6 \times 10^{3} = 6555.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6 \times 10^{3}})

x \times 1.6 \times 10^{3} \times \frac{1.0}{1.6 \times 10^{3}} = 6555.0 \times \frac{1.0}{1.6 \times 10^{3}}

Cancel

x \times 1.6 \times 10^{3} \times \frac{1.0}{1.6 \times 10^{3}} = 6555.0 \times \frac{1.0}{1.6 \times 10^{3}}

Simplify

x = \frac{6555.0}{1.6 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 6555.0}{1.6}

Solve

x

x = 4.096875 \approx 4.0969

Conversion Equation

1.0 (a c r e) \approx 4.0969 (r a i)

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