(CIE 0606/2021/m/22/Q6)
$A O B$ is a sector of a circle with centre $O$ and radius $16 \mathrm{~cm}$. Angle $A O B$ is $\dfrac{2 \pi}{7}$ radians. The point $C$ lies on $O B$ such that $O C$ is of length $7.5 \mathrm{~cm}$ and $A C$ is a straight line.
(a) Find the perimeter of the shaded region.
(b) Find the area of the shaded region.$[3]$
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