The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when the radius is 5 ft.

  rate is its area changing when the radius is 5 ft.

Step-by-step explanation:

Here we have , The radius of a circle is increasing at a rate of 3 ft/min. We need to find  At what rate is its area changing when the radius is 5 ft. Let's find out:

We know that area of circle  = .

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Differentiating both sides w.r.t to time we get :

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⇒    ............(1)              {    }

But , According to Question

Putting this value in equation (1):

⇒

⇒

⇒

Therefore ,   rate is its area changing when the radius is 5 ft.

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