4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{28839dd5-b9c1-4cbd-981e-8f79c43ba086-08_622_894_258_683}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows the plan view of a house \(A B C D\) and a lawn \(A P C D A\).
\(A B C D\) is a rectangle with \(A B = 16 \mathrm {~m}\).
\(A P C O A\) is a sector of a circle centre \(O\) with radius 12 m .
The point \(O\) lies on the line \(D C\), as shown in Figure 2.
- Show that the size of angle \(A O D\) is 1.231 radians to 3 decimal places.
The lawn \(A P C D A\) is shown shaded in Figure 2.
- Find the area of the lawn, in \(\mathrm { m } ^ { 2 }\), to one decimal place.
- Find the perimeter of the lawn, in metres, to one decimal place.