The radius of a circle is decreasing at a rate of 6.56.56, point, 5 meters per minute. At a certain instant, the radius is 121212 meters. What is the rate of change of the area of the circle at that instant (in square meters per minute)

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 .

46.2+112.3

step-by-step explanation:

y=mx+b

step-by-step explanation:

m slope, b y-intercept