2026 DSS P2 Q2

2026 DSS P2 Q2

Secondary 4
9 marks

The diagram shows a circle \(ABCD\), centre \(O\). \(BC=CD\). Angle \(AOB=40^\circ\) and angle \(ADC=37^\circ\).

  1. Find angle \(BCD\).
    Give a reason for each step of your working.[3]
  2. Find angle \(BOD\).
    Give a reason for each step of your working.[2]
  3. The radius of the circle is 7 cm.
    Calculate the area of the minor segment \(ABCD\).[4]

Solution:

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Answer:(a) \(146^\circ\). (b) \(68^\circ\). (c) \(22.9\text{ cm}^2\).

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