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Each full rotation of the circle equates to 360°.

When the circle has rotated through 1000° it has rotated 1000/360 = 2.7778 times.

Each rotation means that a spot on the perimeter travels a distance of 2πr = πD inches.

A rotation of 1000° means the spot has travelled 2.7778 x 4π = 34.91 inches (2dp)

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