OCR MEI C2 — Question 8

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
TopicRadians, Arc Length and Sector Area

8 Fig. 8 shows a sector of a circle with centre O and radius 6 cm and a chord AB which subtends an angle of 1.8 radians at O . \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c55a5f04-3573-4f36-a12c-3755bdd4a45b-4_341_485_310_771} \captionsetup{labelformat=empty} \caption{Fig. 8}
\end{figure}
  1. Calculate the area of the sector OAXB .
  2. Calculate the area of the triangle OAB and hence find the area of the shaded segment AXB.