A knight is placed at the origin of the cartesian plane it moves in an L shape what is the expected distance from the origin after 2016 moves

Konstantin Dinev asked Apr 20, 2023

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Konstantin Dinev asked Apr 20, 2023

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11 votes

Answer:

Below in bold.

Explanation:

Using the Pythagoras theorem:

Distance from the origin after 1 move = √(1^2 + 2^2) = √5.

So after 2016 distance is 2016√5 units.

This = 4507.9 units to the nearest tenth,

Harrison Xi answered Apr 25, 2023

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