From a uniform disc of radius `R`, a circular section of radius `R//2` is cut out. The centre of the hole is at `R//2` from the centre of the original disc. Locate the centre of mass of the resulting flat body.

Explanation

To find the center of mass of the resulting flat body after cutting out a circular section from a uniform disc, we can follow these steps:

### Step 1: Define the Problem
We have a uniform disc of radius \( R \) and we cut out a circular section of radius \( \frac{R}{2} \). The center of the hole is located at a distance of \( \frac{R}{2} \) from the center of the original disc.

### Step 2: Calculate the Masses
1. **Mass of the Original Disc**:
The mass of the original disc can be calculated using the formula:
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