Stone dropped in a lake, circular wave spreading: rate the enclosed area grows
The same question, asked 3 times: 3 May 2023 S1*, 19 Apr 2025 S1*, 14 May 2026 S2. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
3 May 2023 S1
118A stone is dropped into a quiet lake and waves move in circles at speed of 8 cm/sec. At the instant when the radius of the circular wave is 12 cm, how fast is the enclosed area increasing?Tap an option to check your answer.
Question 2
19 Apr 2025 S1
139By dropping a stone in a quiet lake, a wave in the form of circle is generated. The radius of the circular wave increases at the rate of . Then the rate of increase of the enclosed circular region, when the radius of the circular wave is 10 cm , is (Given )Tap an option to check your answer.
Question 3
14 May 2026 S2
77A stone is dropped into a quiet lake and waves move in circles at the speed of . At the instant when the radius of circular wave is cm, the enclosed area is increasing at the rate --------Tap an option to check your answer.