10.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{75d68987-2314-4c8f-8160-24977c5c4e34-20_761_1475_331_239}
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\caption{Figure 1}
\end{figure}
Figure 1 shows the design for a shop sign \(A B C D A\).
The sign consists of a triangle \(A O D\) joined to a sector of a circle \(D O B C D\) with radius 1.8 m and centre \(O\).
The points \(A , B\) and \(O\) lie on a straight line.
Given that \(A D = 3.9 \mathrm {~m}\) and angle \(B O D\) is 0.84 radians,
- calculate the size of angle \(D A O\), giving your answer in radians to 3 decimal places.
- Show that, to one decimal place, the length of \(A O\) is 4.9 m .
- Find, in \(\mathrm { m } ^ { 2 }\), the area of the shop sign, giving your answer to one decimal place.
- Find, in m , the perimeter of the shop sign, giving your answer to one decimal place.