A circular park has its centre at

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

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

84^{\circ}

. (i) Find the measure of the arc along the shorter route from

A

B

. (ii) Determine the measure of the arc along the longer route from

A

B

. (iii) Calculate the angle subtended at the centre by the longer arc found in part (ii).