Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Explanation

To prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent, we can follow these steps:

### Step 1: Define the Cyclic Quadrilateral
Let \( ABCD \) be a cyclic quadrilateral, which means that all its vertices lie on a circle.

### Step 2: Identify the Perpendicular Bisectors
Draw the perpendicular bisectors of the sides \( AB \), \( BC \), \( CD \), and \( DA \). Let the perpendicular bisectors be denoted as follows:
- \( O_L \) for side \( AB \)
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