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Describe the locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it. - Mathematics

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Question

Describe the locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it.

Diagram
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Solution

The locus is the circumference of the circle concentric with the second circle whose radius is equal to the sum of the radii of the two given circles. 

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