2.10: Region bounded by tangents and a major arc

0606/23/O/N/16 — Question 8 · 10 marks

2.10 diagram
The points AA, BB and CC lie on a circle centre OO, radius 6 cm6\text{ cm}. The tangents to the circle at AA and CC meet at the point TT. The length of OTOT is 10 cm10\text{ cm}.
(i)
Find the angle TOATOA in radians.
[2]
(ii)
Find the area of the region TABCTTABCT.
[6]
(iii)
Find the perimeter of the region TABCTTABCT.
[2]