Convert square rod to circular inch

Learn how to convert 1 square rod to circular inch step by step.

Calculation Breakdown

Set up the equation

1.0 (s q u a r e r o d) = 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 (s q u a r e r o d) = 25.29285264 (s q u a r e m e t e r) = 25.29285264 (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 (s q u a r e r o d) = x (c i r c u l a r i n c h)

Insert known values =>

1.0 \times 25.29285264 \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 25.29285264 \cdot (m^{2}) = x \cdot 5.06707479097498 \times 10^{- 4} \cdot (m^{2})

Cancel SI units

1.0 \times 25.29285264 \cdot (m^{2}) = x \times 5.06707479097498 \times 10^{- 4} \times (m^{2})

Conversion Equation

25.29285264 = x \times 5.06707479097498 \times 10^{- 4}

Switch sides

x \times 5.06707479097498 \times 10^{- 4} = 25.29285264

Isolate

x

Multiply both sides by

(\frac{1.0}{5.06707479097498 \times 10^{- 4}})

x \times 5.06707479097498 \times 10^{- 4} \times \frac{1.0}{5.06707479097498 \times 10^{- 4}} = 25.29285264 \times \frac{1.0}{5.06707479097498 \times 10^{- 4}}

Cancel

x \times 5.06707479097498 \times 10^{- 4} \times \frac{1.0}{5.06707479097498 \times 10^{- 4}} = 25.29285264 \times \frac{1.0}{5.06707479097498 \times 10^{- 4}}

Simplify

x = \frac{25.29285264}{5.06707479097498 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 25.29285264}{5.06707479097498}

Solve

x

x \approx 49916.083112 \approx 4.9916 \times 10^{4}

Conversion Equation

1.0 (s q u a r e r o d) \approx 4.9916 \times 10^{4} (c i r c u l a r i n c h)

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