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The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi.

The figure below shows a rope that circles the Earth. The radius of the Earth is 63716371 kilometers.\newlineAssuming the rope makes a perfect circle, what is the length of this rope?\newlineGive your answer in terms of pi.\newline□\square kilometers

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Full solution

Q. The figure below shows a rope that circles the Earth. The radius of the Earth is 63716371 kilometers.\newlineAssuming the rope makes a perfect circle, what is the length of this rope?\newlineGive your answer in terms of pi.\newline□\square kilometers
  1. Calculate Circumference Formula: To find the length of the rope, we need to calculate the circumference of the Earth using the formula C=2×π×rC = 2 \times \pi \times r, where CC is the circumference and rr is the radius.
  2. Plug in Radius: Plug in the radius of the Earth into the formula: C=2×π×6371C = 2 \times \pi \times 6371 km.
  3. Perform Multiplication: Perform the multiplication to get the length of the rope: C=2×π×6371 km=12742×π km.C = 2 \times \pi \times 6371 \, \text{km} = 12742 \times \pi \, \text{km}.
  4. Check Calculation: Check the calculation for any errors. The formula and numbers look correct.

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