(a(i))[1]
Find $\angle E\hat{B}C$.
(a(ii))[1]
Find $\angle C\hat{X}B$.
(a(iii))[1]
Find $\angle E\hat{D}C$.
(a(iv))[1]
Find $\angle A\hat{C}D$.
(b(i))[2]
The angle of a sector of a circle with radius $6\text{ cm}$ is $40^\circ$. Its area is $k\pi\text{ cm}^2$. Find the value of $k$.
(b(ii))[2]
Give an expression, in terms of $\pi$, for the perimeter of the sector. Write your answer in the form $(a+b\pi)$ centimetres.
(b(iii))[1]
A geometrically similar sector has perimeter $(72+n\pi)$ centimetres. Find the value of $n$.