CAT 2019 Slot 2 QA Q7 Geometry

Question 7 of the Quantitative Ability (QA) section, CAT 2019 Slot 2, with CAT's official answer.

Two circles, each of radius 4 cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle, in cm, is
  1. A
    \(\frac{π}{3}\)
  2. B
    1
  3. C
    \(\frac{1}{\sqrt{2}}\)
  4. D
    \(\sqrt{2}\)

Answer: (B) 1 Geometry MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.