CAIE P1 2004 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2004
SessionJune
TopicRadians, Arc Length and Sector Area

5
\includegraphics[max width=\textwidth, alt={}, center]{22a31966-4433-4d7d-8a75-bcd536acfa24-2_501_682_1302_735} In the diagram, \(O C D\) is an isosceles triangle with \(O C = O D = 10 \mathrm {~cm}\) and angle \(C O D = 0.8\) radians. The points \(A\) and \(B\), on \(O C\) and \(O D\) respectively, are joined by an arc of a circle with centre \(O\) and radius 6 cm . Find
  1. the area of the shaded region,
  2. the perimeter of the shaded region.