2 The diagram shows a shaded segment of a circle with centre \(O\) and radius 14 cm , where \(P Q\) is a chord of the circle.
\includegraphics[max width=\textwidth, alt={}, center]{a2525df8-dbd0-4b69-b6bb-f8ef6f96f7dc-2_423_551_1270_740} In triangle \(O P Q\), angle \(P O Q = \frac { 3 \pi } { 7 }\) radians and angle \(O P Q = \alpha\) radians.

1. Find the length of the arc \(P Q\), giving your answer as a multiple of \(\pi\).
2. Find \(\alpha\) in terms of \(\pi\).
3. Find the perimeter of the shaded segment, giving your answer to three significant figures.