Question

A wire when bent in the form of a square encloses an area of 484 CM ^2 (square)
if the same wire is bent in the form of a circle ,find the area of the circle ?​

Answer 1

Answer:

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 × 2 2

8 8 × 7

=

14cm

∴Area of the circle

=

πr

2

=

7

22

×

14×

14cm

2

=

616cm

2