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What is the rate of change of the area of a circle with respect to its radius when, r = 3 cm -

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Question

What is the rate of change of the area of a circle with respect to its radius when, r = 3 cm

Options

  • `r`

  • `pir`

  • `2 pir`

  • Zero

MCQ

Solution

`2 pir`

Explanation:

Let 'A' be the area of the circle of radius 'r', then

= `pir^2` and `(dA)/(dr) = 2pir` 

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