SOLUTION: A circle of radius 2 rolls completely around the inside perimeter of a square of side 10. what distance is covered by the centre of the circle ? a 16 b 24 c 32 d 40

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Question 293198: A circle of radius 2 rolls completely around the inside perimeter of a square of side 10. what distance is covered by the centre of the circle ?
a 16 b 24 c 32 d 40

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It will trace out a square who's sides
are 1 radius away from the outside square
The outside square's sides are 10 units
apart. The inside square's sides are 2r
smaller, so 10+-+2r+=+10+-+4
10+-+4+=+6
The perimeter of a square with sides = 6 is
4%2A6+=+24 units
The answer is (b)