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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 = 5cm.

Text Solution

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The correct Answer is:
`10 pi sq cm//cm`
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Find the rate of change of the area of a circle with respect to its radius r when (a) r = 3 cm.

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Knowledge Check

  • The rate of change of the area of a circle with respect to its radius r at r = 6 cm is

    A
    `10pi`
    B
    `12pi`
    C
    `8pi`
    D
    `11pi`

  • The rate of change of area of a circle with respect to its radius at r = 2 cms is

    A
    4
    B
    `2pi`
    C
    2
    D
    `4pi`

  • The rate of change of area of a circle with respect to its radius at r=2cm is of

    A
    1)4
    B
    2)`2pi`
    C
    3)2
    D
    4)`4pi`

    • Similar Questions

    Explore conceptually related problems

    Find the rate of change of the area of a circle with respect to its radius r when (a) r=3 cm " " (b) r=4 cm

    If the radius of a circle is increasing at a uniform rate of 2 cm/s, then find the rate of increase of area of circle at the instant when the radius is 20 cm.

    The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is

    The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is

    The rate of change of the surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to

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