Answer the following questions related to parts of a circle.
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Answer the following questions related to parts of a circle.
(i) Define (a) a sector and (b) a segment of a circle.
(ii) Consider a circle of radius r in which a chord subtends an angle θ at the centre. Write, in terms of r and θ, the area of (a) the sector formed and (b) the isosceles triangle formed by the two radii and the chord.
(iii) Using the results of part (ii), explain why the area of the minor segment is equal to the difference between the two areas obtained in part (ii).