A circular park has its centre at O. Gateways at points A and B on its boundary divide the park into two walking tracks along the boundary.
The angle between the two radii OA and OB is 84∘.
a. (i) Find the measure of the arc along the shorter route from A to B.
b. (ii) Determine the measure of the arc along the longer route from A to B.
c. (iii) Calculate the angle subtended at the centre by the longer arc found in part (ii).