CAIE P1 2008 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2008
SessionJune
TopicRadians, Arc Length and Sector Area

5
\includegraphics[max width=\textwidth, alt={}, center]{d71002bb-b6f0-42a3-89fb-f2769d5c3779-2_543_883_1274_630} The diagram shows a circle with centre \(O\) and radius 5 cm . The point \(P\) lies on the circle, \(P T\) is a tangent to the circle and \(P T = 12 \mathrm {~cm}\). The line \(O T\) cuts the circle at the point \(Q\).
  1. Find the perimeter of the shaded region.
  2. Find the area of the shaded region.