2025 CHS PRELIMS P1 Q19

2025 CHS PRELIMS P1 Q19

Secondary 4
6 marks

The diagram shows two sectors (OAB) and (OCD) with centre at (O). (OB) is 15 cm and (CD) has an arc length of 5 cm. The ratio of area of sector (OCD) : area of (ABDC) is (16:65).

  1. Find (angle COD) in radians.[3]
  2. Find the area of the shaded region.[3]

Solution:

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Answer:(a) \(\frac34\text{ rad}\) (b) \(17.4\text{ cm}^2\)

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