A stone is thrown on a quiet pond creating concentric circles. If the radius of the circle is changing at 6 ft/min. How fast was the area and circumference of the circle changing after 1 hour? Use the derivative, (dx/dy), of a function, f(x) = y , is its instantaneous rate of change with respect to the variable x.

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Step-by-step explanation:

12.56 feet

Step-by-step explanation:

Given: The width of the circular path= 2 feet

The inner diameter of circular path= 150 feet

Therefore, the inner radius of circular path=

Now, the outer radius= 75+2=77 feet

We know that the circumference=

Inner circumference=

Outer circumference=

The difference=

Hence, the outer edge of the path is 12.56 feet farther than the inner edge