turkey-yks 2025 Q34

turkey-yks · Other · yks-ayt Circles Area and Geometric Measurement Involving Circles
In the figure, point $C$ is on the line segment $[AB]$, point $D$ is on the semicircle with diameter $[AB]$, and $m(\widehat{BAD}) = 18^{\circ}$.
In the figure, the area of the yellow-colored region equals 4 times the area of the blue-colored region. Accordingly, what is the ratio $\frac{|AC|}{|BC|}$?
A) $\frac{3}{2}$ B) $\frac{5}{3}$ C) $\frac{7}{4}$ D) $\frac{7}{5}$ E) $\frac{9}{5}$
In the figure, point $C$ is on the line segment $[AB]$, point $D$ is on the semicircle with diameter $[AB]$, and $m(\widehat{BAD}) = 18^{\circ}$.

In the figure, the area of the yellow-colored region equals 4 times the area of the blue-colored region. Accordingly, what is the ratio $\frac{|AC|}{|BC|}$?

A) $\frac{3}{2}$
B) $\frac{5}{3}$
C) $\frac{7}{4}$
D) $\frac{7}{5}$
E) $\frac{9}{5}$