Convert fang zhang(方丈) to circular thou

Learn how to convert 1 fang zhang(方丈) to circular thou step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g z h a n g (方 丈)) = x (c i r c u l a r t h o u)

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 (f a n g z h a n g (方 丈)) = \frac{10^{2}}{9.0} (s q u a r e m e t e r) = \frac{10^{2}}{9.0} (m^{2})

Right side: 1.0 (c i r c u l a r t h o u) = 5.06707479097498 \times 10^{- 10} (s q u a r e m e t e r) = 5.06707479097498 \times 10^{- 10} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g z h a n g (方 丈)) = x (c i r c u l a r t h o u)

Insert known values =>

1.0 \times \frac{10^{2}}{9.0} \times (s q u a r e m e t e r) = x \times 5.06707479097498 \times 10^{- 10} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{10^{2}}{9.0} \cdot (m^{2}) = x \cdot 5.06707479097498 \times 10^{- 10} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{2}}{9.0} \cdot (m^{2}) = x \times 5.06707479097498 \times 10^{- 10} \times (m^{2})

Conversion Equation

\frac{10^{2}}{9.0} = x \times 5.06707479097498 \times 10^{- 10}

Switch sides

x \times 5.06707479097498 \times 10^{- 10} = \frac{10^{2}}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.06707479097498 \times 10^{- 10}})

x \times 5.06707479097498 \times 10^{- 10} \times \frac{1.0}{5.06707479097498 \times 10^{- 10}} = \frac{10^{2}}{9.0} \times \frac{1.0}{5.06707479097498 \times 10^{- 10}}

Cancel

x \times 5.06707479097498 \times 10^{- 10} \times \frac{1.0}{5.06707479097498 \times 10^{- 10}} = \frac{10^{2} \times 1.0}{9.0 \times 5.06707479097498 \times 10^{- 10}}

Simplify

x = \frac{10^{2}}{9.0 \times 5.06707479097498 \times 10^{- 10}}

Rewrite equation

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

Rewrite

x = \frac{10^{10} \times 10^{2}}{9.0 \times 5.06707479097498}

Simplify

x = \frac{10^{12}}{9.0 \times 5.06707479097498}

Solve

x

x \approx 21928058238 \approx 2.1928 \times 10^{10}

Conversion Equation

1.0 (f a n g z h a n g (方 丈)) \approx 2.1928 \times 10^{10} (c i r c u l a r t h o u)

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