2025 YCKSS PRELIMS P1 Q8

2025 YCKSS PRELIMS P1 Q8

Secondary 4
4 marks

\(AB\) and \(DC\) are concentric arcs with centre \(O\), radii 28 cm and 44 cm. The perimeter of annular sector \(ABCD\) is \(72\pi-76\) cm.

  1. Calculate \(\angle AOB\) in radians, leaving the answer in terms of \(\pi\).[2]
  2. Calculate the area of windscreen swept by the wiper.[2]

Solution:

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Answer:(a) \(\pi-1.5\text{ rad}\) (b) \(946\text{ cm}^2\)

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