2025 BVSS PRELIMS P1 Q8

2025 BVSS PRELIMS P1 Q8

Secondary 4
6 marks
2025 Bedok View Secondary School Prelims A Math Paper 1

The radius of a circle, \(r\) cm, decreases at a rate of \(\dfrac{2}{(t+1)^2}\) cm per minute.

  1. Given that the initial radius is 4 cm, find an expression for \(r\) in terms of \(t\).[3]
  2. Find the rate of change of the area of the circle when the radius is 2.6 cm.[3]

Solution:

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Answer:(a) \(r=2+\dfrac{2}{t+1}\) (b) \(-2.94\text{ cm}^2\text{/min}\)

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