Question

A wire is bent to form a square enclosing an area of 484 m2. Using the same wire, a circle is formed. Find the area of the circle.

Answer 1

Step-by-step explanation:

Area of the square=484cm

2

∴ Side of the square =

484

=22cm

⇒ Perimeter of the square =4×22=88cm

∵ (Circumference of the circle) = (perimeter of the square)

⇒2πr=88

⇒2×

7

22

×r=88

∴r=

2×22

88×7

=14cm

∴ Area of a Circle= πr2

=22/7×(14)²

=616cm²