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Can a circle have both a rational circumference and a rational area?


If yes, what radius (or radii) will produce that result? If no, why not?

 

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Best Answer Jim Bob (bubba-math) says

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4 years ago
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    TR Smith (calculus-geometry) 4 years ago

    Thank you for the nice explanation.

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Steven Brown says

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4 years ago
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    Jim Bob (bubba-math) 4 years ago

    That succinctly proves that the circumference and diameter can never both be rational, but what about circumference and area?


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