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प्रश्न
The rate of change of the area of a circle with respect to its radius r, when r = 3 cm, is ______.
रिकाम्या जागा भरा
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उत्तर
The rate of change of the area of a circle with respect to its radius r, when r = 3 cm, is 6π cm.
Explanation:
Area of circle with radius r = πr2
A = πr2
Differentiate w.r.t. r
`"dA"/"dr" = π(2r)`
`"dA"/"dr" = 2πr`
When, r = 3 cm
`"dA"/"dr"}_(r = 3) = 2π(3)`
= 6π cm square
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