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The precise technical term for the center point of a circle ... used by the most seasoned professionals in the field of Classical Geometry ... is "Center". If you throw that term around in casual conversation, you too will get a lot of respect.

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Q: What do you call the center point of a circle?
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The diameter of a circle passes through the center of a circle at its center point


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Its simply called the "center point" or "center". There is no fancy term for it.


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