IP2U13 13.4 PN1 Q11

IP2U13 13.4 PN1 Q11

IP 2

The figure shows a semicircle \(PQR\) with diameter \(PQ\) and centre \(O\). The crescent region \(X\) is obtained by drawing another semicircle of diameter \(PR\). Given that \(PQ = 1\) m, \(\angle PRQ = 90^\circ\) and \(\angle QPR = 30^\circ\), find

  1. the perimeter and
  2. the area of the crescent region \(X\).

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Answer:(a) \(2.41\) m (b) \(0.141\text{ m}^2\)

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