A wire is looped in the form of a circle of radius 28 cm. If it is re-bent into a square form, determine the length of the side of the square.

(a) 44 cm
(b) 45 cm
(c) 46 cm
(d) 48 cm

To solve this question, we need to find the length of the side of a square formed by re-bending a wire that was originally in the form of a circle.

Step 1: Find the length of the wire
The length of the wire is equal to the circumference of the circle, which is given by the formula:

Circumference of a circle = 2 * π * radius

Here, the radius of the circle is 28 cm. So,

Circumference = 2 * π * 28 Circumference ≈ 2 * 3.1416 * 28 Circumference ≈ 175.84 cm

Thus, the length of the wire is approximately 175.84 cm.

Step 2: Find the length of the side of the square
When the wire is re-bent into a square, the total length of the wire forms the perimeter of the square. The perimeter of a square is given by the formula:

Perimeter of a square = 4 * side of the square

Let the side of the square be 's'. Then,

4 * s = 175.84 cm

Solving for 's':

s = 175.84 / 4 s ≈ 43.96 cm

So, the side length of the square is approximately 44 cm.

Answer:
The length of the side of the square is approximately 44 cm.

Thus, the correct option is (a) 44 cm.