Home Maths Differentiation and Applications of Derivatives General A stone is dropped into a quiet lake and wav…
Maths Differentiation and Applications of Derivatives General Single Correct MCQ
Published on: August 13, 2026

A stone is dropped into a quiet lake and waves move in a circle at a speed of 4 cm/s. At the instant when the radius of the circular wave is 10 cm, the enclosed area increases at the rate :

A
100 π cm 2 /s
B
80 π cm/s
C
40 cm 2 /s
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
D

= 4cm/sec

when r = 4cm, A = π r 2

= π .2r = π . 2 × 4 × 4 = 32 π cm 2 /sec

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