The question deals with finding the area of the shaded portion in a square with a circle inside of it. The question mentions that the radius of the circle is 1m. The side of the square in this case is twice the radius, hence 2m.

Now proceeding to dissect each option,

Option 1: 4-pi is calculated as the area of the square (side^2) minus the area of the circle (pi*r^2). This value would give us the area of the shaded portion.

Option 2: 1 - pi/2 seems to be calculated incorrectly as it subtracts half the area of the circle from 1, which doesn`t carry meaningful relation to the problem.

Option 3: 1/4 - pi/4 is also an incorrect option as it seems to subtract a quarter of the area of the circle from a fourth, which does not align with the given situation.

Option 4: 1 - pi/4 seems to subtract a quarter of the circle`s area from 1, which again does not give the correct area of shaded portion.

From the above dissection, it is clear that option 1: 4-pi should be the correct answer as it uses appropriate formulas for the square