Answer the following questions on the basic idea of a segment in a circle:
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Answer the following questions on the basic idea of a segment in a circle:
(i) Define a sector and a segment of a circle.
(ii) List, in logical order, the steps you would follow to calculate the area of a minor segment that subtends an angle of 120° at the centre of a circle of radius r. Do not carry out any numerical calculation; only state the sequence of operations together with the expressions involved.
(iii) Give a clear reason why the area of the triangle formed by the two radii is subtracted and not added when finding the area of a segment.