2026 CCHMS P2 Q6

2026 CCHMS P2 Q6

Secondary 4
9 marks

In the diagram, \(OPQ\) is a sector of a circle, centre \(O\) and radius 20 cm.

\(PTSR\) is an arc of another circle, centre \(Q\).

The length of arc \(PQ\) is 14.8 cm.

  1. Show that angle \(POQ=0.74\) radians.[1]
  2. Show that \(QS=14.5\) cm.[2]
  3. Find angle \(SQR\).[3]
  4. Find the area of the shaded region.[3]

Solution:

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Answer:(a) \(0.74\) rad (shown) (b) \(14.5\text{ cm}\) (shown) (c) \(0.461\) rad (d) \(16.1\text{ cm}^2\).

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