The diagram shows a circle with radius r cm and centre O. The line PT is the tangent to the circle at P and angle POT = α radians. The line OT meets the circle at Q.

(i) Express the perimeter of the shaded region PQT in terms of r and α.

(ii) In the case where α = \(\frac{1}{3} \pi\) and r = 10, find the area of the shaded region correct to 2 significant figures.