Question

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The radius r of a circle can be written as a function of the area A with the following equation:
r=sqrt(A/pi)

What is the domain of this function? Explain why it makes sense in this context.

Answer 1

The domain of the function is \[A \ge0\]
If A is negative we get an imaginary number for the radius. This makes sense because the area of a circle cannot be negative.