Let radii of each circle be ‘a’.
Distance PQ = 2a.
Let radii of each circle be ‘a’.
Distance PQ = 2a.
Draw PM perpendicular to AB.
∠MAP = 30°
MP = a. AM = a^{3}
AB = 2a + 2a
After this we are done.
Area of circle = a^{2}
Area of equilateral triangle = * (2a + 2a√3)^{2}
Area of circle = a^{2}
Area of equilateral triangle = * (2a + 2a√3)^{2}
= a^{2}(6 + 4√3)
Ratio = : (6 + 4√3)
Correct Answer: (A).