Fill in the missing values in the table below in order to correctly represent the relationship between the radius of a circle with the corresponding area and circumference of the circle. Give EXACT values, so you will need to enter the number $\pi$ by typing pi . For example if you wish to enter $2 \pi - 3$ you would type 2*pi - 3 in the blank.

Length of radius	0	1	2	3	4	5
Area of circle
Circumference of circle

Decide whether the radius and circumference of the circle are linear functions of the radius. If one of these is a linear function, enter the rate of change in the corresponding blank below. If it is not a linear function, enter NONE in the blank below. Answers must be EXACT values.
Rate of change of the area with respect to the radius is .
Rate of change of the circumference with respect to the radius is .