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How many centimeters does a circle with a diameter of 4 cm roll along the inside of a square with a side length of 20 cm?
Because of the size of the circle, you can't enter the inner corner, and the distance you can't walk at each corner is:

2+2 = 4cm

The inner circumference of a square is:

20 * 4 =80 cm

Subtract the distance that four internal angles can't roll, and the result is:

80-4 * 4 = 64 (cm)