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Is there a way to perfectly define the area of a circle?

Updated: 8/17/2019
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14y ago

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The question is assumed to be asking whether the area of a circle can "come out even", or be written as an exact number without rounding or approximating. The answer is yes ... but then the radius (or circumference) of the circle couldn't be perfectly written. Look at it this way: We know that 'pi' is the constant that relates the area of a circle to its diameter: A = (pi)R2. You can re-write this simple formula as: A/R2 = pi. Since 'pi' is an irrational number, then the fraction A/R2 is an irrational number, meaning that either 'A' or 'R2' (or both) must be irrational.

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Q: Is there a way to perfectly define the area of a circle?
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