SOLUTION: What is the average rate of change of the function A(x)=piX^2, where A is the area of a circle with radius X, as the radius changes from X=4 to X=6 ?

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Question 1197570: What is the average rate of change of the function A(x)=piX^2, where A is the area of a circle with radius X, as the radius changes from X=4 to X=6 ?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Plug in x = 4
A(x) = pi*x^2
A(4) = pi*4^2
A(4) = 16pi

Repeat similar steps for x = 6 to find that A(6) = 36pi

The average rate of change is then:
%28A%286%29-A%284%29%29%2F%286-4%29+=+%2836pi-16pi%29%2F%286-4%29+=+%2820pi%29%2F2+=+10pi

Answer: 10pi