Question 13
The equilateral triangles $ABC$ and $DEF$ with the sides of length $1$ are divided into congruent equilateral triangles as shown in the figure. A circle is inscribed into each smaller triangle. What is the ratio of the shaded area of the triangle $ABC$ to the shaded area of the triangle $DEF$?
(A) $\frac{9}{16}$ (B) $\frac{3}{4}$ (C) $1$ (D) $\frac{4}{3}$ (E) $\frac{16}{9}$
(A) $\frac{9}{16}$ (B) $\frac{3}{4}$ (C) $1$ (D) $\frac{4}{3}$ (E) $\frac{16}{9}$