If an earthquake measures 10^4, what does it measure on the Richter scale?
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<h2><u>Appropriate Question :-</u> </h2>
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. kilometers.
<h3>____________________</h3><h2><u>Solution :-</u></h2><h3><u>Given Information :-</u></h3>- <u>Radius of Earth ➢</u> 6,371 km
- A rope completely circles the Earth
- Earth is a circle
- The Length of rope in terms of π ( pi. )
∵ The rope completely circles the Earth
⇒ Length of the rope = Perimeter of the Earth
∵ Formula to calculate the perimeter (circumference) = 2πr
∵ Earth is mentioned as a circle here, it's radius is 6,371 km
<em><u>Substituting the values in the formula, We get, </u></em>
⇒ Perimeter of Earth = 2 × π × 6,371 km
<em><u>Calculating further, We get, </u></em>
⇒ Perimeter of Earth = 12,742π km
As stated earlier, perimeter of Earth = length of rope
⇒ The perimeter of Earth is 12,742π km
∴ The length of the rope is 12,742π km
<h3>____________________</h3><h2><u>Final Answer :-</u></h2>The Length of rope circling the Earth in terms of π ( pi. ) is 12,742 km.
<h3>____________________</h3><h3><u>Note :-</u></h3><em>Please scroll from right to left to see the whole solution. </em>