Answer
The inverse function will be a function in terms of the area of the circle and gives the radius of a circle required for the area of the circle to be a given value.
Work Step by Step
For A(r) to have an inverse function, it must be a 1-1 function. Since the area of a circle is given by A(r)=$\pi r^{2}$, the area of a circle cannot decrease over time thus A(r) is a strictly increasing function. Hence, A(r) is 1-1 function and has an inverse. The inverse function will be a function in terms of the area of the circle and gives the radius of a circle required for the area of the circle to be a given value.
