CAIE P1 2019 March — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2019
SessionMarch
TopicArea Under & Between Curves

3
\includegraphics[max width=\textwidth, alt={}, center]{c8ac31bc-0f76-4d00-a28b-4a07758f9663-05_652_542_260_799} In the diagram, \(C X D\) is a semicircle of radius 7 cm with centre \(A\) and diameter \(C D\). The straight line \(Y A B X\) is perpendicular to \(C D\), and the arc \(C Y D\) is part of a circle with centre \(B\) and radius 8 cm . Find the total area of the region enclosed by the two arcs.