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Answer:
The rate of change of the area of the circle is approximately .
Step-by-step explanation:
Given:
radius
We need to find the rate of change of the area of the circle at that instant.
Solution:
Now we know that;
Area of the circle is given by π times square of the radius.
framing in equation form we get;
to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.
Substituting the given values we get;
Hence The rate of change of the area of the circle is approximately .