Convert circular thou to board

Learn how to convert 1 circular thou to board step by step.

Calculation Breakdown

Set up the equation

1.0 (c i r c u l a r t h o u) = x (b o a r d)

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 (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})

Right side: 1.0 (b o a r d) = 7.74192 \times 10^{- 3} (s q u a r e m e t e r) = 7.74192 \times 10^{- 3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (c i r c u l a r t h o u) = x (b o a r d)

Insert known values =>

1.0 \times 5.06707479097498 \times 10^{- 10} \times (s q u a r e m e t e r) = x \times 7.74192 \times 10^{- 3} \times (s q u a r e m e t e r)

Or

1.0 \cdot 5.06707479097498 \times 10^{- 10} \cdot (m^{2}) = x \cdot 7.74192 \times 10^{- 3} \cdot (m^{2})

Cancel SI units

1.0 \times 5.06707479097498 \times 10^{- 10} \cdot (m^{2}) = x \times 7.74192 \times 10^{- 3} \times (m^{2})

Conversion Equation

5.06707479097498 \times 10^{- 10} = x \times 7.74192 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

5.06707479097498 \times {10^{- 10}}^{10^{- 7}} = x \times 7.74192 \times 10^{- 3}

Simplify

5.06707479097498 \times 10^{- 7} = x \times 7.74192

Switch sides

x \times 7.74192 = 5.06707479097498 \times 10^{- 7}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.74192})

x \times 7.74192 \times \frac{1.0}{7.74192} = 5.06707479097498 \times 10^{- 7} \times \frac{1.0}{7.74192}

Cancel

x \times 7.74192 \times \frac{1.0}{7.74192} = 5.06707479097498 \times 10^{- 7} \times \frac{1.0}{7.74192}

Simplify

x = \frac{5.06707479097498 \times 10^{- 7}}{7.74192}

Solve

x

x \approx 0.0000000654 \approx 6.545 \times 10^{- 8}

Conversion Equation

1.0 (c i r c u l a r t h o u) \approx 6.545 \times 10^{- 8} (b o a r d)

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