9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{857bf144-b03e-4b46-b043-1119b30f9e78-4_365_888_1484_479}
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\caption{Figure 3}
\end{figure}
Figure 3 shows a design painted on the wall at a karting track. The sign consists of triangle \(A B C\) and two circular sectors of radius 2 metres and 1 metre with centres \(A\) and \(B\) respectively.
Given that \(A B = 7 \mathrm {~m} , A C = 3 \mathrm {~m}\) and \(\angle A C B = 2.2\) radians,
- use the sine rule to find the size of \(\angle A B C\) in radians to 3 significant figures,
- show that \(\angle B A C = 0.588\) radians to 3 significant figures,
- find the area of triangle \(A B C\),
- find the area of the wall covered by the design.