Comprehension

Directions for questions: Read the information given below and answer the questions that follow :

Consider three circular parks of equal size with centers at A1 , A2 and A3 respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3 , B1 B2 B3 and C1 C2 C3 as shown. Three sprinters A, B and C begin running from points A1 , B1 and C1 respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point

CAT/2003

Question . 87

Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a,b and c, respectively. Which of the following is true?