Calculate the radius of gyration of a uniform circular ring about an axis passing through its diameter.

Explanation

To calculate the radius of gyration of a uniform circular ring about an axis passing through its diameter, we can follow these steps:

### Step 1: Understand the Moment of Inertia
The moment of inertia (I) of a uniform circular ring about an axis passing through its diameter is given by the formula:
\[ I = \frac{1}{2} m r^2 \]
where:
...