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'Weekly Problem 33 - 2007' printed from http://nrich.maths.org/

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Two circles with radii 1cm and 4cm touch. The point P is on the smaller circle, Q is on the larger circle, and PQ is a tangent to both circles. What is the length of PQ?
Two circles with common tangent

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This problem is taken from the UKMT Mathematical Challenges.

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