Correct Answer - Option 4 : 528 cm
2
Given :
Radius of wire is 28 cm.
Concept used :
Area of the circle = π radius2
Area of the square = side × side
Circumference of the circle = 2π × radius
Perimeter of square = 4 × side
Calculations :
Circumference of the circle = Perimeter of the square (Length will remain same)
⇒ 2 π × 28 = Perimeter of square
Perimeter of square = 8 × 22
So ,
Side of the square = 44 cm
Now,
Area of square = 44 × 44
⇒ 1936 cm2
Area of the circle = π × 28 × 28
⇒ 2464 cm2
Difference of the areas = 2464 - 1936
⇒ 528 cm2
∴ Option 4 will be the correct answer.