Question

A wire is bent to form a square enclosing an area of 484 cm². Using the same wire, a circle is formed. Find the area of the circle.

Answer 1

Area of the square  = 484 cm²
Area of the square = Side²

⇒ 484 = Side²

 22² = Side 

Perimeter of the square = 4  Side
Perimeter of the square = 4 × 22 = 88 cm
Length of the wire = 88 cm
Circumference of the circle = Length of the wire = 88 cm
Now, let the radius of the circle be r cm.
​Thus, we have:

2πr = 88

`=> 2 xx 22/7 xx r = 88`

⇒ r = 14

Area of the circle = πr²

`=> 22/7xx14xx14`

= 616 x m²

Thus, the area enclosed by the circle is 616 cm².