2024 BTYSS P2 Q11

2024 BTYSS P2 Q11

Secondary 4
8 marks
  1. \(A\), \(B\) and \(P\) are points on a circle with centre at \(O\), and radius of length \(10\text{ cm}\). Angle \(AOB=2\) radians.
    1. Calculate the length of \(AB\).[2]
    2. Calculate the area of the major segment \(APB\).[3]
  2. \(A\), \(B\), \(C\), \(D\) and \(E\) are points on a circle, centre \(O\).
    Angle \(ABE=46^\circ\) and angle \(CAD=31^\circ\).
    Find Angle \(CDE\).[3]

Solution:

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Answer:(a)(i) \(16.8\text{ cm}\) (ii) \(260\text{ cm}^2\) (b) \(105^\circ\)

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