Math

Two identical circles are to be cut from
a 12cm by 9cm sheet of paper.

What is the maximum possible radius of these circles?

Show that if the length of the sheet of paper is twice the breadth of the paper, then the radius of the largest circles which can be cut out is half of the breadth.

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  1. Sounds like the two circles' centers are on a line parallel with a side of the rectangle. In that case, the diameter of the circles is half the longest dimension of the rectangle.

    So, two circles of radius 6 can be cut from the paper. Any bigger than that, and they won't both fit in the 12cm dimension.

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