A square of perimeter 88 cm and a circle of circumference 88 cm are given. Which figure has a larger area and by how much?

The length of the side of the square $=\frac{88}{4}=22 cm$

Let the radius of the circle = r

⇒ 2πr = 88

⇒ r = 14 cm

The area of the square = 484 cm²

The area of the circle = π(14)²  $=\frac{22}{7}\times 14\times 14$= 616 cm²

The difference = 132 cm²