CAT 1998 — QA Question 6
2 CirclesEasy
Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR?
Answer & solution
Correct answer: 93
- A
120
- B
66
93
- D
87
Solution
PQ = PE + FQ – FE
= radius of circle 1 + radius of circle 2 – FE = 20 + 20 – 12 = 28
Similarly, QR = 20 + 20 – CD = 40 – 10 = 30 and PR = 20 + 20 – AB = 40 – 5 = 35
So perimeter of ΔPQR = 28 + 30 + 35 = 93
