Sectors P and Q are drawn in the same circle with centre O.
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Sectors P and Q are drawn in the same circle with centre O.
(i) Sector P subtends an angle of 60∘ and sector Q subtends an angle of 120∘ at the centre. Without performing any numerical calculation with π, state the ratio of (a) their arc lengths and (b) their areas.
(ii) Which of the two sectors has the greater perimeter (boundary length formed by the two radii and the intercepted arc)? Give a brief reason for your answer.