MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Two congruent circles, each of radius 14cm, are drawn so that the centre of each circle lies on the circumference of the other. The portion common to both circles is shaded. Solve the following.
(i) Show that, for each circle, the sector corresponding to the shaded portion subtends an angle of 60∘ at its centre.
(ii) Calculate the exact area (in cm2) of the shaded region common to the two circles.
(iii) Find the perimeter of the shaded region, leaving your answer in terms of π where necessary.