Question

The perimeter of a circle is 440cm. Find the side of square inscribed the circle.
OM​

Answer 1

Step-by-step explanation:

Circumference of circle = 2πr, where r is the radius of circle.

⇒ 2πr = 440

∴ r = 440/2π = 70 cm

⇒ Diameter of the circle = 2r = 140 cm

Diameter of circle = Diagonal of the square

⇒ √2a = 140

∴ a = 140/√2

⇒ Area = a2 = 9800 cm2

Answer 2

Answer:

•Circumference of circle = 2πr, where r is the radius of circle

2πr = 440

∴ r = 440/2π = 70 cm

•Diameter of the circle = 2r = 140 cm

•Diameter of circle = Diagonal of the square

⇒ √2a = 140

∴ a = 140/√2

⇒ Area = a² = 9800 cm²

$\huge \green{ \boxed{ 9800cm²}}$