Four circles are situated in the plane so that each is tangent to the other three.
If three of the radii are 3, 4, and 5, what's the largest possible radius of the fourth circle?
Three differently sized circles and a line can be positioned so that they are all mutually tangent to one another, as shown below. If the largest circle has radius 225 and the medium circle has radius 100, what is the radius of the smallest circle?
Three non-concentric circles of equal radii are drawn such that each circle touches the other two externally. The centres are joined to form a triangle whose area is 17320.5 cm^2. Find the area of the triangle not included in the circles.
Three circles of unit radius and touching each other. What is max possible area of blue circle as shown in image? And what about red circles?
If you knew that the radius of the big circle and the big arcs is 5 cm, what is the area of the yellow region?
