As shown in the figure, AB is the diameter of circle O, points C and D are on circle O, and point C is the midpoint of arc BD, passing point C to draw the perpendicular line EF of AD and it intersects straight line AD at point E, if the radius of circle O is 2.5, the length of AC is 4.0, then the length of CE is ()
Choices:
A:3
B:\frac{20}{3}
C:\frac{12}{5}
D:\frac{16}{5}
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB is the diameter of circle O, points C and D are on circle O, and point C is the midpoint of arc BD, passing point C to draw the perpendicular line EF of AD and it intersects straight line AD at point E, if the radius of circle O is 2.5, the length of AC is 4.0, then the length of CE is ()
Choices:
A:3
B:\frac{20}{3}
C:\frac{12}{5}
D:\frac{16}{5}
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, AB is the diameter of circle O, points C and D are on circle O, and point C is the midpoint of arc BD, passing point C to draw the perpendicular line EF of AD and it intersects straight line AD at point E, if the radius of circle O is 2.5, the length of AC is 4.0, then the length of CE is ()
Choices:
A:3
B:\frac{20}{3}
C:\frac{12}{5}
D:\frac{16}{5}