6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{08b1be3e-2d9a-4832-b230-d5519540f494-16_364_689_214_630}
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\caption{Figure 2}
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Figure 2 shows a sketch of a design for a triangular garden \(A B C\).
The garden has sides \(B A\) with length \(10 \mathrm {~m} , B C\) with length 6 m and \(C A\) with length 12 m . The point \(D\) lies on \(A C\) such that \(B D\) is an arc of the circle centre \(A\), radius 10 m .
A flowerbed \(B C D\) is shown shaded in Figure 2.
- Find the size of angle \(B A C\), in radians, to 4 decimal places.
- Find the perimeter of the flowerbed \(B C D\), in m , to 2 decimal places.
- Find the area of the flowerbed \(B C D\), in \(\mathrm { m } ^ { 2 }\), to 2 decimal places.