1.6: Sector area, arc length and segment area

The diagram shows a circle with centre and radius . The minor arc is such that angle is radians. The area of the minor sector is .
(i)[2]
Show that .
(ii)[3]
Given that the minor arc has length , find the value of and of .
(iii)[2]
Using your values of and , find the area of the shaded region.
