Answer :
Final answer:
The length of the side of the square formed by re-bending a wire originally looped in a circle with a radius of 28 cm is 44 cm.
Explanation:
To find the length of the side of the square, we first calculate the circumference of the circle using the given radius and then equate that to the perimeter of the square. The length of the wire forming the circle will be the same as the total perimeter of the square once it is re-bent.
The circumference (C) of the circle is calculated using the formula C = 2πr, where r is the radius of the circle. Plugging in the given values we get C = 2 × (22/7) × 28 cm = 176 cm.
The perimeter (P) of the square is the sum of all four sides, i.e. P = 4s, where s is the length of one side of the square. Equating the circle's circumference to the square's perimeter, we get 4s = 176 cm. Therefore, the length of one side of the square is s = 176 cm / 4 = 44 cm.
