Question

How to find area of square that is bent from the circle of area 616 sq.cm without knowing the circumference and radius of circle.

Answer 1

As we know,

Area of the circle = 616 cm

2πr2 = 616(22/7)

r2 = 616

⇒ r2 = 616 × (7/22) = 28 × 7

⇒ r = √[2 × 2 × 7 × 7]

⇒ r = 2 × 7

⇒ r = 14 cm

Circumference of the circle = 2πr = 2 × (22/7) × 14 = 88

Perimeter of the square = 4a4a = 88⇒ a = 88/4

⇒ a = 22

Side of the square a = 22 cmArea of the square = a2 = 22 × 22 =

484 sq.cm