question: As shown in the figure, circle O is the circumcircle of triangle ABC, circle O ia tangent to AB at point C, angle BCE = 60.0, DC = 6.0, DE = 4.0, then S_triangle CDE is ()
  Choices:
  A:6√{5}
  B:6√{3}
  C:6√{2}
  D:6
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: As shown in the figure, circle O is the circumcircle of triangle ABC, circle O ia tangent to AB at point C, angle BCE = 60.0, DC = 6.0, DE = 4.0, then S_triangle CDE is ()
  Choices:
  A:6√{5}
  B:6√{3}
  C:6√{2}
  D:6
query_cot: Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
  Question: As shown in the figure, circle O is the circumcircle of triangle ABC, circle O ia tangent to AB at point C, angle BCE = 60.0, DC = 6.0, DE = 4.0, then S_triangle CDE is ()
  Choices:
  A:6√{5}
  B:6√{3}
  C:6√{2}
  D:6
question_for_eval: As shown in the figure, circle O is the circumcircle of triangle ABC, circle O ia tangent to AB at point C, angle BCE = 60.0, DC = 6.0, DE = 4.0, then S_triangle CDE is ()
  Choices:
  A:6√{5}
  B:6√{3}
  C:6√{2}
  D:6