Question

a wire is bent in the form of square occupy an area of 196m^2 if the same wire bent to form a circle find the area occupied

Answer 1

Hello Mate!

As the area of square,formed = 196m^2

Area of square = side^2

196m^2 = side^2

$\sqrt{196 {m}^{2} } = side$

14 m = side

Perimter = 4 × side => 4 × 14 m
= 56 m

Now, new formed circle has circumferenceof 56 m

56 m = 2 × 22/7 × r

56 m × 1/2 × 7/22 = r

28 m × 7/22 = r

14 m × 7/11 = r

98 / 11 = r => r = 8.9 m

Area = 22/7 × 8.9m × 8.9 m
=248.9 m^2

Hope it helps!☺✌