CAIE P1 2020 Specimen — Question 9

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2020
SessionSpecimen
TopicCircles

9
\includegraphics[max width=\textwidth, alt={}, center]{3986478a-062a-4bc6-bce2-85408b51a0b2-14_716_912_258_571} Th id ag am sh s a circle with cen re \(A\) ad rad s r. Diameters \(C A D\) ad \(B A E\) are \(\mathbf { p }\) re \(\dot { \text { d } }\) ch ar to each b r. A larg r circle \(\mathbf { h }\) s cen re \(B\) a¢ sses th \(\mathbf { g } \quad C\) ad \(D\).
  1. Sth that th rad s 6 th larg r circle is \(r \sqrt { 2 }\).
  2. Fid b area \(\mathbf { 6 }\) th sh d d eg i r it erms \(\mathbf { 6 } r\).