MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Two sectors have the same central angle of 120°. One is cut from a circle of radius r cm and the other from a circle whose radius is 4 cm greater.
(i) Write an equation in r if the difference between the areas of the two sectors is 231 cm2.
(ii) Solve the equation to find the radii of the two circles.
(iii) Using your values of the radii, calculate the difference between the lengths of the arcs of the two sectors.
Take π=722.