Answer:
The rate of change is of of the area when the radius is 4 centimeters square centimeters.
Step-by-step explanation:
Area of a circle:
The area of a circle of radius r is given by:
Implicit derivative:
To solve this question, we have to derivate implictly the equation as a function of t. Thus:
The radius of a circle is increasing at a rate of 6 centimeters per minute.
This means that
Find the rate of change of the area when the radius is 4 centimeters.
This is when
. Thus
The rate of change is of of the area when the radius is 4 centimeters square centimeters.