A wire of length 36m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the lengths of the two pieces, so that the combined area of the square and the circle is minimum?

Explanation

To solve the problem of minimizing the combined area of a square and a circle formed from a wire of length 36 m, we can follow these steps:

### Step 1: Define Variables
Let \( x \) be the length of the wire used for the circle. Therefore, the length of the wire used for the square will be \( 36 - x \).

### Step 2: Express the Areas
1. **Area of the Circle**:
The circumference of the circle is given by \( x \). The radius \( r \) of the circle can be expressed as:
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