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Are circles similar and why?

Updated: 12/8/2022
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13y ago

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Yes they are. In a 2-dimensional plane, a circle is completely defined by the location of its centre and its radius. The first of these is irrelevant for similarity. The second, its radius is also the circle's only scale factor. And since similarity permits changes in the scale, a circle is not changed by altering its scale factor. Consequently all circles are similar.

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13y ago
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Q: Are circles similar and why?
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