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The figure below shows a rope that circles the earth the radius of the earth is 6371 km 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 6371 km assuming the rope makes a perfect circle what is the length of this rope class=

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The Solution:

Given that the radius of a circle is 6371km.

Required:

Find the length (perimeter) of the circle in terms of pi.

The formula for the perimeter of a circle is:

[tex]Length=Perimeter=2\pi r[/tex]

Where r = 6371km.

[tex]Length=2\times\pi\times6371=12742\pi km[/tex]

Answer:

[tex]12742\pi km[/tex]

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