9709 P11 - Nov 2020 - Q10 - 10 marks
10538
Sector \(CAB\) has centre \(C\). A circle with centre \(O\), radius \(r\), touches it at \(D,E,F\). \(C,O,D\) lie on a straight line and \(\angle ACD=\theta\) radians.
(a) Find \(CD\) in terms of \(r,\sin\theta\). [3]
Now \(r=4\) and \(\theta=\pi/6\).
(b) Find the sector perimeter in terms of \(\pi\). [3]
(c) Find the shaded area in terms of \(\pi,\sqrt3\). [4]
