2025 PHS PRELIMS P1 Q26

2025 PHS PRELIMS P1 Q26

Secondary 4
5 marks

\(PCQ\) is an arc of a circle with centre \(O\) and radius \(9\text{ cm}\). Tangents at \(P\) and \(Q\) meet at \(R\). Angle \(POQ=\dfrac{7\pi}{18}\) radians.

  1. Show that angle \(PRQ=\dfrac{11\pi}{18}\) radians.[1]
  2. Find the length of arc \(PCQ\).[1]
  3. Find the area of the shaded region.[3]

Solution:

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Answer:(a) \(\frac{11\pi}{18}\) (b) \(11.0\text{ cm}\) (c) \(7.24\text{ cm}^2\)

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