讲解一下这道题---**Textual Information:**
如图, AD是⊙O的直径, △ABC是⊙O的内接三角形. 若∠DAC = ∠ABC, AC = 4, 则⊙O的直径AD = _______.
**Mathematical Formulas/Equations:**
* ∠DAC = ∠ABC
* AC = 4
**Chart/Diagram Description:**
* **Type:** Geometric figure (circle with an inscribed triangle and a diameter).
* **Main Elements:**
* **Circle:** A circle with center O.
* **Points:** Points A, B, C, D are on the circumference of the circle. Point O is at the center of the circle.
* **Lines:**
* Line segment AD is a diameter of the circle, passing through O.
* Triangle ABC is inscribed in the circle, formed by line segments AB, BC, and AC.
* Line segment BD is drawn.
* **Labels:** The points are labeled A, B, C, D, and O.
* **Relative Position:** O is the center. A, B, C, D are on the circle. AD is a diameter. Triangle ABC is inscribed in the circle.