3.8: Sector with external tangents forming a kite

0606/22/M/J/21 — Question 7 · 6 marks

3.8 diagram
DABDAB is a sector of a circle, centre AA, radius 18 cm18\text{ cm}. The lines CBCB and CDCD are tangents to the circle.
Angle DABDAB is 7π9\dfrac{7\pi}{9} radians.
(a)
Find the perimeter of the shaded region.
[3]
(b)
Find the area of the shaded region.
[3]