Convert astronomical unit to arm length

Learn how to convert 1 astronomical unit to arm length step by step.

Calculation Breakdown

Set up the equation

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

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (a s t r o n o m i c a l u n i t) = 149597870691.0 (m e t e r) = 149597870691.0 (m)

Right side: 1.0 (a r m l e n g t h) = 0.7 (m e t e r) = 0.7 (m)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 149597870691.0 \times (m e t e r) = x \times 0.7 \times (m e t e r)

Or

1.0 \cdot 149597870691.0 \cdot (m) = x \cdot 0.7 \cdot (m)

Cancel SI units

1.0 \times 149597870691.0 \cdot (m) = x \times 0.7 \times (m)

Conversion Equation

149597870691.0 = x \times 0.7

Switch sides

x \times 0.7 = 149597870691.0

Isolate

x

Multiply both sides by

(\frac{1.0}{0.7})

x \times 0.7 \times \frac{1.0}{0.7} = 149597870691.0 \times \frac{1.0}{0.7}

Cancel

x \times 0.7 \times \frac{1.0}{0.7} = 149597870691.0 \times \frac{1.0}{0.7}

Simplify

x = \frac{149597870691.0}{0.7}

Solve

x

x \approx 2.1371124384 \times 10^{11} \approx 2.1371 \times 10^{11}

Conversion Equation

1.0 (a s t r o n o m i c a l u n i t) \approx 2.1371 \times 10^{11} (a r m l e n g t h)

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