Question

6. A copper wire when bent in the form of a square encloses an area of
484 cm?. The same wire is now bent in the form of a circle. Find the area
enclosed by 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 the circle =πr

2

=

7

22

×14×14cm

2

=616cm

2