A piece of string one metre long is cut into two pieces. One piece is used to form a circle and the other piece to form a square. Where should the cut made if the areas of the circle and square are equal?

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The cut should be made at 47.0cm (to three significant figures) from one end. The shorter piece will form the circle and the larger piece will form the square.

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Monday, June 27, 2016

"Extension: Where should the cut be made to minimise the sum of the two areas? Where should the cut be made to maximise the sum of the two areas?"

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