The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is

Let the side of square be a cm

area of a square = 100 cm²

area of square = a²

⇒ a² = 100cm²

⇒ a = 10cm

Now for the largest circle in the square, diameter of the circle must be equal to the side of the square

Diameter = side of square = 10cm

⇒ 2r = 10cm

⇒ r = 5cm

Circumference of the circle = 2πr

⇒ 2 π×5

⇒ 10 π