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Find the rate of change of the area of a...

Find the rate of change of the area of a circle with respect to its radius `r` when `r=5c mdot`

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To find the rate of change of the area of a circle with respect to its radius \( r \), we will follow these steps: ### Step 1: Write the formula for the area of a circle The area \( A \) of a circle is given by the formula: \[ A = \pi r^2 \] ...
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Knowledge Check

  • The rate of change of the area of a circle with respect to its radius r when r = 3 cm is :

    A
    `6picm^(2)//cm`
    B
    `4picm^(2)//cm`
    C
    `5picm^(2)//cm`
    D
    None of these.
  • The rate of change of the area of a circle with respect to its radius at r = 5, is :

    A
    `10pi`
    B
    `8pi`
    C
    `12pi`
    D
    `13pi.`
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