IP2U13 13.4 PN1 Q8

IP2U13 13.4 PN1 Q8

IP 2

The diagram shows a sector of a circle with centre \(O\) and radius \(8\) cm.

\(P\) is a point on \(OA\) such that \(4OP = 3OA\) and \(Q\) is a point on \(OB\) such that \(5OQ = 2OB\).

Given that \(\angle AOB = 0.8\) radians, calculate

  1. the length of \(PQ\),
  2. the arc length \(AB\),
  3. the area of the shaded region.

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Answer:(i) 4.41 cm, (ii) 6.4 cm, (iii) 18.7 cm²

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