3.10: Circle with chord and consecutive arcs

In this question, all lengths are in centimetres and all angles are in radians.
The diagram shows a circle, centre , radius . The points , and lie on the circumference of the circle. The chord has length .
(a)[2]
Show that angle is correct to decimal places.
(b)[2]
Given that the minor arc has a length of , find angle .
(c)[3]
Find the area of the minor sector .
