CAIE P1 2022 June — Question 9

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

9 The diagram shows triangle \(A B C\) with \(A B = B C = 6 \mathrm {~cm}\) and angle \(A B C = 1.8\) radians. The arc \(C D\) is part of a circle with centre \(A\) and \(A B D\) is a straight line.
  1. Find the perimeter of the shaded region.
  2. Find the area of the shaded region.