Find the area of the circle whose circumference is equal to the perimeter of a square of side 11 cm.

Given:

Side of the square = 11 cm

Formula:

Perimeter of the square = 4a

Circumference of the circle = 2πr

Area of the circle = πr²

Calculation:

According to the question,

Circumference of the circle = Perimeter of the square

⇒ 2πr = 4a

⇒ 2πr = 4 × 11

⇒ 2 × (22 / 7) × r = 44

⇒ r = 7 cm

Area of the circle =  πr2

⇒ (22 / 7) × 7 × 7 = 154 cm²

∴ Area of circle is 154 cm².