circle which circumscribes 3 unit circle which are tangential to each other. what is the circumference of the bigger circle?

• 3 unit circle are tangential therefore it makes a Equilateral triangle.
  which side is 1+1 =2
  area of the triangle is = 1.7321*2*2/4 =1.7321
  if we draw 3 line passes through center of bigger circle to center of smaller circle.
  then the equilateral triangle divided into three parts.
  it means area of these triangles = area of equilateral triangle
  3*2*h/2 =1.7321
  h= 1.7321/3 =1/1.7321
  h is the height of triangle .
  in right angle triangle
  we have base =1
  height = 1/1,7321
  Hypotenuse =2/1.7321
  radious of bigger circle = 1+ 2/1.7321
  here 1.7321 = suareroot of 3.
• 9 years agoHelpfull: Yes(0) No(0)