Question 1179591
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<U>ANSWER</U>.  {{{40 + 2*pi}}}  centimeters = 46.28 centimeters (rounded).



<U>Explanation</U>.  The path of the center consists of 4 segments of the length of 10 cm each, parallel to the sides of the square

(outside the square)  PLUS  4 (four)  arcs of a circle of the radius of 1 cm and the angle measure of 90 degrees each.
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Solved, answered and explained.