13. (a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from (i) 2 to 3 (b) Find the instantaneous rate of change when r= 2. (c) Show that the rate of change of the area of a circle with (ii) 2 to 2.5 (iii) 2 to 2.1 respect to its radius (at any 7) is equal to the cireumfer ence of the circle. Try to explain geometrically why this is true by drawing a circle whose radius is inereased by an amount Ar. How can you approximate the resulting change in area AA if &r is small?

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