OCR MEI C2 2005 January — Question 7

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2005
SessionJanuary
TopicRadians, Arc Length and Sector Area

7 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{72b4624f-e716-4a37-96f3-01b46e0bd0fd-4_305_897_310_795} \captionsetup{labelformat=empty} \caption{Fig. 7}
\end{figure} Fig. 7 shows a sector of a circle of radius 5 cm which has angle \(\theta\) radians. The sector has area \(30 \mathrm {~cm} ^ { 2 }\).
  1. Find \(\theta\).
  2. Hence find the perimeter of the sector.