A circle of maximum possible size is cut from

The correct answer is option (b) 1/2 of the original square

Explanation:

Let “a” be the side of the square sheet

Thus, the area of the bigger square sheet = a2 …. (1)

Now, the circle of maximum possible size from it is given as:

The radius of the circle = a/2 … (2)

Then the diameter = a

We know that, any square in the circle of maximum size should have the length of the diagonal which is equal to the diameter of the circle.

It means that, the diagonal of a square formed inside a circle is “a”

Hence, the square side = a / √2

Thus, the area of square = a2 / 2

By equating the equations (1) and (2), we will get:

Area of the resultant square is ½ of the original square.