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What is the cardinal of the set of all circles?

What is the cardinal of the set of all circles? Prove your answer. (Hint: the circle is defined by its radius.) I was able to reduce any infinite countable or uncountable, but do not know how to prove it.

You know that the set of irrational numbers is uncountable. A circle can have a radius that is an irrational number. So the set must be uncountable.

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