2019年USAAAO决赛第9题

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英文题目

9. (15 points)

a) Find the shortest distance from Boston (42.36010 N, 71.05890 W) to Beijing (39.90420 N, 116.40740 E)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.

b) What fraction of the path lies within the Arctic circle (north of 66.56080 N)?