The radius r of a circle can be written as a function of the area A with the following equation: r= (A)/( \pi ) What is the domain of this function? Explain why it makes sense i…

Question

The radius r of a circle can be written as a function of the area A with the following equation:


`r= (A)/( \pi )`

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

Answer 1

The real formula of the radius is r = √(A/pi)

In this context, it makes sense as the radius cannot have a negative value.

Thus, the domain of the function is [0,∞)

This means that the Area can have any positive value starting from zero.