Convert rai to tan(段)

Learn how to convert 1 rai to tan(段) step by step.

Calculation Breakdown

Set up the equation

1.0 (r a i) = x (t a n (段))

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 (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})

Right side: 1.0 (t a n (段)) = \frac{1.2 \times 10^{5}}{121.0} (s q u a r e m e t e r) = \frac{1.2 \times 10^{5}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (r a i) = x (t a n (段))

Insert known values =>

1.0 \times 1.6 \times 10^{3} \times (s q u a r e m e t e r) = x \times \frac{1.2 \times 10^{5}}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 1.6 \times 10^{3} \cdot (m^{2}) = x \cdot \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times 1.6 \times 10^{3} \cdot (m^{2}) = x \times \frac{1.2 \times 10^{5}}{121.0} \times (m^{2})

Conversion Equation

1.6 \times 10^{3} = x \times \frac{1.2 \times 10^{5}}{121.0}

Cancel factors on both sides

Cancel factors

1.6 \times 10^{3} = x \times \frac{1.2 \times {10^{5}}^{10^{2}}}{121.0}

Simplify

1.6 = x \times \frac{1.2 \times 10^{2}}{121.0}

Switch sides

x \times \frac{1.2 \times 10^{2}}{121.0} = 1.6

Isolate

x

Multiply both sides by

(\frac{121.0}{1.2 \times 10^{2}})

x \times \frac{1.2 \times 10^{2}}{121.0} \times \frac{121.0}{1.2 \times 10^{2}} = 1.6 \times \frac{121.0}{1.2 \times 10^{2}}

Cancel

x \times \frac{1.2 \times 10^{2} \times 121.0}{121.0 \times 1.2 \times 10^{2}} = 1.6 \times \frac{121.0}{1.2 \times 10^{2}}

Simplify

x = \frac{1.6 \times 121.0}{1.2 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 1.6 \times 121.0}{1.2}

Solve

x

x \approx 1.6133333333 \approx 1.6133

Conversion Equation

1.0 (r a i) \approx 1.6133 (t a n (段))

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