You are on Earth, approximated as a perfect sphere with radius R = 6371 km. (a) Imagine you are standing on North Pole, and draw a circle centered around you with a radius r. Express the circumference of the circle in terms of the circle radius r and the Earth radius R. (b) If you can measure distances with an error of ±1 meter, how large a circle would you have to draw on the Earth’s surface to convince yourself that the Earth is spherical rather than flat?
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