OCR MEI C2 2005 June — Question 10

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

10 Arrowline Enterprises is considering two possible logos: \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{faeaf2aa-ed4e-4926-b402-40c4c9aad479-4_1123_1676_356_230} \captionsetup{labelformat=empty} \caption{Fig. 10.1}
\end{figure} Fig. 10.2
  1. Fig. 10.1 shows the first logo ABCD . It is symmetrical about AC . Find the length of AB and hence find the area of this logo.
  2. Fig. 10.2 shows a circle with centre O and radius 12.6 cm . ST and RT are tangents to the circle and angle SOR is 1.82 radians. The shaded region shows the second logo. Show that \(\mathrm { ST } = 16.2 \mathrm {~cm}\) to 3 significant figures.
    Find the area and perimeter of this logo.