CAIE P1 2022 November — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2022
SessionNovember
TopicRadians, Arc Length and Sector Area

5
\includegraphics[max width=\textwidth, alt={}, center]{0f59214c-df46-46a6-ae9e-b9c8f104e159-06_494_542_260_799} The diagram shows a sector \(O A B\) of a circle with centre \(O\). The length of the \(\operatorname { arc } A B\) is 8 cm . It is given that the perimeter of the sector is 20 cm .
  1. Find the perimeter of the shaded segment.
  2. Find the area of the shaded segment.