Two circles with centre A and B and radius 2 units touch each other externally at 'C'. A third circle with centre 'C' and radius '2' units meets other two at D and E. Then the area of the quadrilateral ABED is

A. 2√2 sq. units

B. 3√3 sq. units

C. 3√2 sq. units

D. 2√3 sq. units

Answer: Option B

Solution (By Examveda Team)

Area $$\square $$ ABED = 3 × ar ΔADC
= 3 × $$\frac{{\sqrt 3 }}{4}$$ (2)² (ADC is an equilateral triangle)
= 3√3 units²