Distance from a circle centre to an external point, and the area between two segments and an arc

A circle has centre \(O\) and radius \(5\text{ cm}\). The point \(T\) lies outside the circle, and the line segment \(OT\) meets the circle at \(R\). The point \(P\) lies on the circle such that \(\angle POT=1.1\) radians and \(\angle PTO=0.4\) radians, as shown in the diagram below.

1. Find \(OT\).[3]
2. Find the area of the shaded region, which is bounded by the line segments \(PT\) and \(TR\) and the minor arc \(PR\).[4]