Given 3 circles with radius #r# positioned find the the radius #R# of the circumscribing circle in terms of the radius of the small circles #r#? If r = 5 cm what is the area of the circumscribing circle?
1 Answer
Nov 8, 2016
Radius of each of three circles touching each other is r.
The side of the equilateral triangle formed by joining the three centers of the given three circles is
Height of this equlateral triangle is
Radius of the circumcircle of this equilateral triangle is
Hence Radius of the circle cicumscribing three circles will be
Area of this circle