A circular metal plate expands under heating so that its radius increases by 2%. Find  the approximate increase in the area of the plate if the radius of the plate before heating is 10cm.

Explanation

To solve the problem step by step, we will follow the given information and apply the concepts of differentials to find the approximate increase in the area of the circular metal plate.

### Step 1: Identify the variables
Let:
- \( x \) = radius of the circular plate
- \( y \) = area of the circular plate

### Step 2: Given values
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