Question

A wire when bent in the form of square, encloses an area of 146.41 cm sq. If this wire is straightened
and then bent to form a circle, what will be the area of the circle so formed?

Answer 1

Step-by-step explanation:

We have,Area of the square=a

2

=484 sq.cm

∴Side of the square=

484

=22cm

So,Perimeter of the square=4×side=4×22=88cm

Let r be the radius of the circle

Then, according to the question,

Circumference of the circle=Perimeter of the square.

⇒2πr=88

⇒2×

7

22

r=88

⇒r=

2×22

88×7

⇒r=14cm

∴Are of the circle=πr

2

=

7

22

×14

2

=

7

22

×14×14=22×2×14=616 sq.cm