The diagram shows a circle, centre O, radius 8 cm. The points P and Q lie on

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The diagram shows a circle, centre O, radius 8 cm. The points P and Q lie on the circle. The lines PT and QT are tangents to the circle and angle POQ = 3π/4 radians.


i. Find the length of PT.

ii. Find the area of the shaded region.

iii. Find the perimeter of the shaded region.

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