If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of area when radius is 6 cm.

The area decreases at a rate of -188.4 square centimeter per minute

The area (A) of a circle of radius (r) is represented as:

Differentiate the area, with respect to r

From the question, we have:

So, the equation becomes

Hence, the area decreases at a rate of -188.4 square centimeter per minute

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-94.2

Step-by-step explanation:

Rate of change of radius = -5 cm per minute (as it is decreasing)

Radius of circle = 6 cm

Formula for area of Area:

Formula for differentiation of :

Differentiating area w.r.to :

Putting the values, cm per minute.

Negative sign indicates that area is decreasing.

Rate of change of area is -94.2 .

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

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step-by-step explanation: