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 circular ring about an axis passing through its diameter is given by the formula:
\[ I = \frac{1}{2} m r^2 \]
where \(m\) is the mass of the ring and \(r\) is the radius of the ring.
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