Each of the circles in figure 1 is of radius 10. After some cutting, there are 5 identical shapes, which can be fitted together without gaps and overlapping. What is the total area of the shape in figure 2?
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From the figure A above, we can fill the gaps (in squares) using the shapes outside the squares. We then obtain 5 squares in figure B, which each of side length 1 0 2 . Hence the area of each square is 1 0 0 × 2 = 2 0 0 . Therefore the total area of the shape in figure 2 (in the question) is 5 × 2 0 0 = 1 0 0 0 .