2008 AMC12 A #13

Points \(\rm A\) and \( \rm B\) lie on a circle centered at \( \rm O\), and \( \rm \angle AOB= 60 ^{\rm o} \). A ssecond circle is internally tangent to the first and tangent to both \( \overline{\rm OA}\) and \( \overline{\rm OB}\). What is the ratio of the area of the smaller circle to that of the larger circle?

(A) \(\dfrac{1}{16}\)          (B) \(\dfrac{1}{9}\)          (C) \(\dfrac{1}{8}\)          (D) \(\dfrac{1}{6}\)          (E) \( \dfrac{1}{4}\)

정답 (B)