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UKMT Grey Kangaroo, 2018

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The diagram shows a rectangle of size $7\text{ cm}\times11\text{ cm}$ containing two circles that each touch three of the sides of the rectangle. What is the distance between the centres of the two circles?

(A) $2$ cm (B) $2.5$ cm (C) $3$ cm (D) $3.5$ cm (E) $4$ cm

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