2026 PCSS P1 Q20

2026 PCSS P1 Q20

Secondary 4
4 marks

The diagram shows a circle, centre \(O\) and radius 6 cm. The tangent from \(C\) touches the circle at \(A\) and \(AC=14\text{ cm}\). The line from \(C\) to \(O\) cuts the circle at \(B\).

  1. Show that angle \(AOB\) is approximately 1.17 radians.[1]
  2. Find the perimeter of the shaded region.[3]

Solution:

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Answer:(a) \(1.165904\ldots\text{ rad}\approx1.17\text{ rad}\) (shown) (b) 30.2 cm

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