7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f1e1d4f5-dd27-4839-a6f3-f6906666302c-18_428_894_210_525}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows the design for a sign at a bird sanctuary.
The design consists of a kite \(O A B C\) joined to a sector \(O C X A\) of a circle centre \(O\).
In the design
- \(O A = O C = 0.6 \mathrm {~m}\)
- \(A B = C B = 1.4 \mathrm {~m}\)
- Angle \(O A B =\) Angle \(O C B = 2\) radians
- Angle \(A O C = \theta\) radians, as shown in Figure 3
Making your method clear,
- show that \(\theta = 1.64\) radians to 3 significant figures,
- find the perimeter of the sign, in metres to 2 significant figures,
- find the area of the sign, in \(\mathrm { m } ^ { 2 }\) to 2 significant figures.