Three sectors are to be cut from metal sheets to make a decorative badge
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Three sectors are to be cut from metal sheets to make a decorative badge. Their central angles are 60°, 90°, and 150° respectively. The radii are chosen so that the length of each arc is exactly 18 cm.
(i) Calculate the radius corresponding to each of the three sectors.
(ii) Using the radii obtained, arrange the areas of the three sectors in ascending order.
(iii) Find the ratio of the largest area to the smallest area in its simplest form.