2025 SJI PRELIMS P1 Q22

2025 SJI PRELIMS P1 Q22

Secondary 4
5 marks

\(ACB\) is an arc of a circle with centre \(O\) and radius \(8\text{ cm}\). Tangents \(AD\) and \(BD\) meet at \(D\), and angle \(ADB=\dfrac\pi4\).

  1. Find \(AD\).[2]
  2. Find the shaded area.[3]

Solution:

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Answer:(a) \(19.3\text{ cm}\) (b) \(79.1\text{ cm}^2\)

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