Let G be a circle of radius R>0. Let G₁,G₂,…,Gₙ be n circles of equal radius r>0. Suppose each of the n circles G₁,G₂,…,Gₙ touches the circle G externally. Also, for i=1,2,…,n−1, the circle Gᵢ touches Gᵢ₊₁ externally, and Gₙ touches G₁ externally. Then, which of the following statements is/are TRUE?