What is the ACTUAL circumference of the Earth?
Understand the Problem
The question is asking for the actual circumference of the Earth represented in terms of π, with multiple-choice options provided. The focus is on identifying the correct mathematical expression that represents the Earth's circumference.
Answer
The actual circumference of the Earth is approximately \( 12,750\pi \).
Answer for screen readers
The actual circumference of the Earth is approximately ( 12,750\pi ).
Steps to Solve
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Know the formula for circumference The formula for the circumference ( C ) of a circle is given by: $$ C = 2\pi r $$ where ( r ) is the radius of the circle.
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Identify Earth's radius The average radius of the Earth is approximately ( 6,371 ) kilometers.
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Calculate the circumference Using the radius in the circumference formula: $$ C = 2\pi \times 6,371 $$
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Simplify the calculation Now, calculate it: $$ C \approx 12,742\pi $$
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Select the closest option Given the options:
- ( 1,750\pi )
- ( 12,750\pi )
- ( 16\pi )
The calculated value ( 12,742\pi ) is closest to ( 12,750\pi ).
The actual circumference of the Earth is approximately ( 12,750\pi ).
More Information
The Earth's circumference varies slightly due to its oblate shape but is approximately ( 40,075 ) kilometers in total, which corresponds to ( 12,750\pi ) when expressed in terms of π.
Tips
- Miscalculating the radius of the Earth.
- Forgetting to use the formula for circumference correctly.
- Rounding the numbers inaccurately.
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