The area of the circumscribing three circles of unit radius toching each other is:
A.
(Π/3)(2 + √3)2

B.
6Π(2 + √3)2

C.
3Π(2 + √3)2

D.
(Π/6)(2 + √3)2

• Visualize the diagram, the centers of the three circle will join to form an equilateral triangle with side 2.Also, the center of that equilateral triangle will be the center of the circle circumscribing all the three circles.
  Now distance between any unit circle to the centroid of the equilateral triangle formed can be calculated using the median(2:1) property.
  The distance comes out to be 2/√3.
  adding radius of the unit circle will give the radius of the circumscribing circle ..hence is the area
  =>Π (2/√3 + 1)^2
  =>(Π/3)(2 + √3)2 answer
• 10 years agoHelpfull: Yes(2) No(0)
• @vivek
  the ans will be pi/3(2 + √3)2 or pi/3(2 + √3)^2
• 10 years agoHelpfull: Yes(1) No(0)
• A.(π/3)(2+√3)2
• 10 years agoHelpfull: Yes(0) No(1)