AMC 10 2025 Part B Problem 12

The figure below shows an equilateral triangle, a rhombus with a 60^\circ angle, and a regular hexagon, each of them containing some mutually tangent congruent disks. Let T, R, and H, respectively, denote the ratio in each case of the total area of the disks to the area of the enclosing polygon. Which of the following is true?

Answer Choices:

A. T=R=H

B. H<R=T

C. H=R<T

D. H<R<T

E. H<T<R