Convert astronomical unit to rood

Learn how to convert 1 astronomical unit to rood 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 (r o o d)

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 (r o o d) = 3.7783 (m e t e r) = 3.7783 (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 (r o o d)

Insert known values =>

1.0 \times 149597870691.0 \times (m e t e r) = x \times 3.7783 \times (m e t e r)

Or

1.0 \cdot 149597870691.0 \cdot (m) = x \cdot 3.7783 \cdot (m)

Cancel SI units

1.0 \times 149597870691.0 \cdot (m) = x \times 3.7783 \times (m)

Conversion Equation

149597870691.0 = x \times 3.7783

Switch sides

x \times 3.7783 = 149597870691.0

Isolate

x

Multiply both sides by

(\frac{1.0}{3.7783})

x \times 3.7783 \times \frac{1.0}{3.7783} = 149597870691.0 \times \frac{1.0}{3.7783}

Cancel

x \times 3.7783 \times \frac{1.0}{3.7783} = 149597870691.0 \times \frac{1.0}{3.7783}

Simplify

x = \frac{149597870691.0}{3.7783}

Solve

x

x \approx 39593963076 \approx 3.9594 \times 10^{10}

Conversion Equation

1.0 (a s t r o n o m i c a l u n i t) \approx 3.9594 \times 10^{10} (r o o d)

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