Two circles A and B have radii 10 cm and 15 cm respectively
MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Two circles A and B have radii 10 cm and 15 cm respectively. A sector is drawn in each circle so that both sectors subtend the same central angle of 72°. Take π = 3.14.
(i) Find the ratio of the lengths of the arcs of the two sectors.
(ii) Calculate the ratio of the areas of the two sectors.
(iii) Determine the area of the larger sector, correct to two decimal places.