2026 NORTHBROOKS P1 Q24

2026 NORTHBROOKS P1 Q24

Secondary 4
7 marks
  1. In the diagram, \(ST\) is a tangent to the circle at \(A\).
    \(AC\) is the diameter of the circle.
    Angle \(ACB=39^\circ\) and angle \(BED=86^\circ\).
    1. Find angle \(ABD\). Give a reason for each step of your working.[2]
    2. Explain why triangle \(AFB\) is not isosceles.[2]
  2. The diagram shows a circle, centre \(O\), passing through \(K\) and \(L\).
    Angle \(KOL=2.4\) radians.
    Find the radius of the circle if the area of the major sector \(OKL\) is \(440\text{ cm}^2\).[3]

Solution:

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Answer:(a)(i) \(55^\circ\). (ii) Angles \(51^\circ,55^\circ,74^\circ\) are all different. (b) \(15.1\text{ cm}\).

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