Equatorial Rope

Suppose that this earth has a circumference along the equator approximately 400 000 km. If you put up a long rope, which has more than 0.01 km circumference of the earth before, and looped around the earth so that there are gaps that are the same distance between the rope around the earth and the earth’s surface. Does a dog can pass through the gap?
SOLUTION: D what?. Using the formula

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