[Problem of the day][数学挑战][Geometry][几何][4][Downhill] Mathematics Geometry

casperyc 2020-5-4 292

The diagram illustrates a right circular cone-shaped mountain.

If you build a shortest distance track for a sightseeing train around the mountain, in which the track starts at point $A$ and ends at point $B$, the track will first go uphill, but then it will go downhill.

 

What is the length of this uphill and downhill track?

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