MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Two sectors belong to the same circle. The lengths of their arcs are in the ratio 5 : 8.
(a) Show that the central angles of the two sectors are also in the ratio 5 : 8.
(b) Explain why the areas of the two sectors are in the ratio 5 : 8.
(c) Would the result in part (ii) necessarily hold if the two sectors came from different circles with different radii? Give a brief reason for your answer.