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Faisal from Arnold House School offered a strategy for working on this problem:
What we did was take a dart board and rolled it around 4 metre rulers.We had several more good solutions for the first part of this problem from pupils at Highcliffe Primary School. Whitney and Joe said:
The new shape (i.e. the locus of the centre of the circle) will be a square with rounded corners.Sam and John explained that the length of the locus ...