Practice problem
Circumference and Pi
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On December 7, 1972, Apollo 17 took a now famous photo of the Earth: The Blue Marble. The image is named after the clear, marble-like appearance of the planet in the shot. But how does the Earth compare to an actual marble?
The Earth Seen From Apollo 17
The radius of the Earth is 6371 km. The radius of an average blue marble is ½ cm. If the circumference of the Earth is actually 40075 km, how many digits of pi do you need to calculate the circumference of the Earth to an error of a marble?