帮我讲解一下上面的题---**Question 9:**
**Question Stem:**
如图,四边形 ABCD 内接于 O,∠ABC = 60°,∠BAC = ∠CAD = 45°,AB + AD = 2,则 O 的半径是 ( )
**Translation of Question Stem:**
As shown in the figure, quadrilateral ABCD is inscribed in circle O, ∠ABC = 60°, ∠BAC = 45°, ∠CAD = 45°, AB + AD = 2, then the radius of O is ( )
**Given Information:**
* Quadrilateral ABCD is inscribed in circle O.
* ∠ABC = 60°
* ∠BAC = 45°
* ∠CAD = 45°
* AB + AD = 2
**Question:**
Find the radius of circle O.
**Options:**
(No options are provided in the image)
**Chart/Diagram Description:**
* **Type:** Geometric figure - A circle with an inscribed quadrilateral.
* **Main Elements:**
* A circle is shown.
* The center of the circle is labeled as O.
* Four points A, B, C, and D are on the circumference of the circle, forming a cyclic quadrilateral ABCD.
* Line segments AB, BC, CD, and DA form the sides of the quadrilateral.
* Line segment AC is a diagonal of the quadrilateral.
* Point O is located inside the quadrilateral, approximately in the center.
* The vertices appear in counter-clockwise order starting from A at the bottom left, B at the bottom right, C at the top, and D at the top left.