The figure below shows a rope that circles the Earth. The radius of the Earth is 637163716371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi.
Mathematics · College · Wed Jan 13 2021
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Given the statement:
The radius of the Earth is 637,163,716,371 kilometers.
Determine the length of the rope assuming that the rope makes a perfect circle.
Formula for Circumference:
C = 2 π r
Solution:
In order to determine the length of the rope, we simply substitute the given value of the radius of the Earth to the formula for the circumferece.
C = 2πr
C = 2π (637,163,716,371 km)
C = 2π (637,163,716,371 km)
C = 1.2743274433 x 10^12 π km
Final answer:
The length of the rope is 1.2743274433 x 10^12 π km