What is the area of the circle circumscribing three circles of unit radius touching each other?

• draw 3 circles and draw a circle circumscribing it..Now draw a triangle with centres of 3 circles..
  
  it is an equilateral triangle with side=2..
  
  now the centroid of triangle is the centre of req circle...
  let G be the centroid..
  
  distance of small circle to centroid of triangle is given by cos30=2/root(3)..
  
  therefore radius of circle R =1 + 2/root(3)..
  area = pi*R^2= pi*(7+4*root(3))/3
• 10 years agoHelpfull: Yes(0) No(0)