Quantitative Aptitude – Circles – Two circles P and Q, each of radius 2


XAT 2021 Exam Paper – Quantitative Aptitude – Circles – Two circles P and Q, each of radius 2

Q. Two circles P and Q, each of radius 2 cm, pass through each other’s centres. They intersect at points A and B. A circle R is drawn with diameter AB. What is the area of overlap (in square cm) between the circles R and P?
  1. 8π/3
  2. 17π/6 – √3
  3. 8π/3 – 2√3
  4. 17π/6 – 2√3
  5. 13π/3 – √3

Answer: 17π/6 – √3

Solutions:
From the question , following figure can be made,
two circles xat 2021
AB is the diameter of circle R.
Radius AC of circle R = √(2^2-1^2 )=√3
Thus common area of circle P and R = area of semi cirle of circle R + Area of
segment ADBCA = (π(√3)^2)/2+π × 2^2 × 120/360 – 1/2 × 1 × 2√3 = 17π/6- √3

XAT Decision Making Online Coaching Course

a) Detailed Concept Videos
b) Questions from 2008-19 solved on video
c) 5 Decision Making mocks with 100 questions
d) Live Classes for Strategy