A disc of radis R is cut out from a larger disc of radius 2R in such a way that the edge of the hole touches the edge of the disc. Locate the centre of mass of the residual disc.

Explanation

To find the center of mass of the residual disc after cutting out a smaller disc from a larger disc, we can follow these steps:

### Step 1: Understand the Geometry
We have a larger disc of radius \(2R\) and a smaller disc of radius \(R\) that is cut out. The smaller disc is positioned such that its edge touches the edge of the larger disc.

### Step 2: Position the Discs
Place the larger disc centered at the origin \((0, 0)\) in the coordinate system. The center of the smaller disc will then be at the point \((R, 0)\) because it is touching the edge of the larger disc.

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