2
\includegraphics[max width=\textwidth, alt={}, center]{8952fc09-004a-4fb6-ad80-5312095a7057-2_313_737_1197_703} The diagram shows a triangle \(A O B\) in which \(O A\) is \(12 \mathrm {~cm} , O B\) is 5 cm and angle \(A O B\) is a right angle. Point \(P\) lies on \(A B\) and \(O P\) is an arc of a circle with centre \(A\). Point \(Q\) lies on \(A B\) and \(O Q\) is an arc of a circle with centre \(B\).

1. Show that angle \(B A O\) is 0.3948 radians, correct to 4 decimal places.
2. Calculate the area of the shaded region.