7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{12e54724-64a3-4dc0-b7d5-6ef6cc04124c-09_878_991_233_461}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
The shape \(B C D\) shown in Figure 3 is a design for a logo.
The straight lines \(D B\) and \(D C\) are equal in length. The curve \(B C\) is an arc of a circle with centre \(A\) and radius 6 cm . The size of \(\angle B A C\) is 2.2 radians and \(A D = 4 \mathrm {~cm}\).
Find
- the area of the sector \(B A C\), in \(\mathrm { cm } ^ { 2 }\),
- the size of \(\angle D A C\), in radians to 3 significant figures,
- the complete area of the logo design, to the nearest \(\mathrm { cm } ^ { 2 }\).