The radius r of a circle can be written as a function of the area a with the following equation: what is the domain of this function? explain why it makes sense in this context.

Hence, the domain of the function is:

[0,∞)

We know that area of circle is given by the function:

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

Now we can represent r in terms of A as:

Now as we know that for the square root term to exist:

i.e.

A=0 represents a point circle since it's area is zero.

Hence, the domain of the function is:

[0,∞)

after simplifying it i got: -36.25 as my answer. hope that !