Home
Class 12
MATHS
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
(a) r=3 cm `" "` (b) r=4 cm

Text Solution

Verified by Experts

The correct Answer is:
`6pi cm^(2)//cm`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.3|31 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.6|24 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

Knowledge Check

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

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

  • The rate of change of surface area of a sphere w.r.t. radius is ………..

    A
    `8pi` (diameter)
    B
    `3pi` (diameter)
    C
    `4pi` (radius)
    D
    `8pi` (radius)

    • Similar Questions

    Explore conceptually related problems

    The rate of cange of volume of sphere with respect to its radius r at r = 2 is __________.

    Prove that the area of the circle with radius r is pi r^2

    A rrarr2 then area of circle with radius r = ….. .

    A rrarr2 then area of circle with radius r = ….. .

    Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60^(@) .

    Find the equation of the circle with centre at (0,0) and radius r .

    Home
    Profile