Suppose you are a two-dimensional being, living on the same sphere of radius R. Show that if you draw a circle of radius r, the circle's circumference will be C=2piRsin(r/R) Then, idealize the Earth as a perfect sphere of radius R = 6371km. If you could 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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Suppose you are a two-dimensional being, living on the same sphere of radius R. Show that if you dra...
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