A wire in the shape of a circle of radius 28 cm is bent in the form of a square. What is the difference of their areas?

(Take $\pi =\frac{22}{7}$)

528 cm²

We know that,

Area of the circle = πr²

Area of the square = side × side 

Circumference of the circle = 2πr

Perimeter of square = 4 × side 

Circumference of the circle = Perimeter of the square

= 2 π × 28 = Perimeter of square 

Perimeter of square = 8 × 22 = 4a

Side of the square ‘a’ = 44 cm 

Area of square = 44 × 44 = 1936 cm²

Area of the circle = \(\frac{22}{7}\) × 28 × 28 = 2464 cm²

Difference of the areas = 2464 - 1936  = 528 cm²