4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8daf56fa-bfce-454e-bbb8-fecd8170d77e-10_310_716_214_621}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Not to scale
Figure 2 shows a flag \(X Y W Z X\).
The flag consists of a triangle \(X Y Z\) joined to a sector \(Z Y W\) of a circle with radius 5 cm and centre \(Y\).
The angle of the sector, angle \(Z Y W\), is 0.7 radians.
The points \(X , Y\) and \(W\) lie on a straight line with \(X Y = 7 \mathrm {~cm}\) and \(Y W = 5 \mathrm {~cm}\).
Find
- the area of the sector \(Z Y W\) in \(\mathrm { cm } ^ { 2 }\),
- the area of the flag, in \(\mathrm { cm } ^ { 2 }\), to 2 decimal places,
- the length of the perimeter, \(X Y W Z X\), of the flag, in cm to 2 decimal places.