A square of the largest area is cut out of a circle. What % of the area of the circle is lost as trimmings ?

Explanation

To solve the problem of finding the percentage of the area of the circle that is lost as trimmings when a square of the largest area is cut out, we can follow these steps:

### Step 1: Understanding the Problem
We need to find the area of a square that can be inscribed in a circle and then determine what percentage of the circle's area is lost when this square is cut out.

### Step 2: Area of the Circle
Let the radius of the circle be \( R \). The area \( A_c \) of the circle is given by the formula:
\[
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