AMC 10 Step by Step
Log inSign up
Printable

2025 AMC 10B Problem 12

Include the solutionBack to the problem
2025 AMC 10B Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 6 min · position P11-15

The figure below shows an equilateral triangle, a rhombus with a 60∘60^\circ angle, and a regular hexagon, each of them containing some mutually tangent congruent disks. Let T,R,T, R, and H,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?

figure

  1. A)

    T=H=RT=H=R

  2. B)

    H<R=TH<R=T

  3. C)

    H=R<TH=R<T

  4. D)

    H<R<TH<R<T

  5. E)

    H<T<RH<T<R

Working